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Попов Михайло Михайлович
доктор фізико-математичних наук
професор кафедри математичного аналізу

http://orcid.org/0000-0002-3165-5822

https://scholar.google.com.ua/citations?view_op=new_articles&hl=uk&imq=Mikhail+M.+Popov#

https://www.scopus.com/authid/detail.uri?authorId=57218900799

https://publons.com/researcher/5183277/mikhail-popov/

Автор понад 80 наукових статей та 3 наукові монографії. Основні наукові здобутки  пов’язані з уведенням і дослідженням нових понять вузького оператора на функціональних просторах і векторних ґратках, а також латерального порядку на векторних ґратках, які тепер активно досліджуються математиками у всьому світі. Розв’язав відому проблему Ролевича про існування сепарабельного фактор-простору в класі метричних лінійних просторів.

 

1. M. Popov, B. Randrianantoanina, Narrow Operators on Function Spaces and Vector Lattices, De Gruyter Studies in Mathematics 45, De Gruyter, Berlin-Boston, 2013. MR2985035 DOI: https://doi.org/10.1515/9783110263343 

2. M. Popov. Rademacher-type independence in Boolean algebras. The Mathematical Legacy of Victor Lomonosov: Operator Theory, edited by Richard M. Aron, Eva A. Gallardo Gutiérrez, Miguel Martin, Dmitry Ryabogin, Ilya M. Spitkovsky and Artem Zvavitch, Berlin, Boston: De Gruyter, 2020, pp. 327-348. https://doi.org/10.1515/9783110656756-021 

3. M. Pliev, M. Popov. Orthogonally additive operators on vector lattices. In: Aron, R.M., Moslehian, M.S., Spitkovsky, I.M., Woerdeman, H.J. (eds) Operator and Norm Inequalities and Related Topics. Trends in Mathematics. Birkhäuser, Cham, 2022, pp.321-351. https://doi.org/10.1007/978-3-031-02104-6_10 

1. M. M. Popov, Codimension of subspaces of Lp(µ) for p < 1, Funkts. Analiz i Prilozhen., 18 (2) (1984), p. 94–95 (in Russian). English translation: Funct. Anal. Appl., 18 (2) (1984), p. 168–170. MR0745720, https://link.springer.com/article/10.1007%2FBF01077844 

2. V. K. Maslyuchenko and M. M. Popov, An invariant of partially ordered sets, Mat. Zametki, 38 (6) (1985), p. 866–871 (in Russian). English translation: Math. Notes, 38 (6) (1985), p. 981–984. MR0823424, http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mzm&paperid=5599&option_lang=eng 

3. V. M. Kadets and M. M. Popov, Schauder bases which are conditional at each hyperoctant, Sibirsk. Mat. Zh., 28 (1) (1987), p. 115–118 (in Russian). Engli- sh translation: Sib. Math. J., 28 (1) (1987), p. 86–89. MR0886859

4. M. M. Popov, Norms of projections in Lp(µ) with «small» kernels, Funkts. Analiz i Prilozhen., 21 (2) (1987), p. 86–87 (in Russian). English translation: J. Soviet Math., 21 (2) (1987), p. 162–163. MR0902304, https://link.springer.com/article/10.1007%2FBF01078037#citeas 

5. M. M. Popov, An elementary proof of the absence of nonzero compact operators defined on the space Lp, 0 < p < 1, Mat. Zametki, 47 (5) (1990), p. 154–155 (in Russian). MR1068071, http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mzm&paperid=3251&option_lang=eng

6. A. N. Plichko and M. M. Popov, Symmetric function spaces on atomless probability spaces, Dissertationes Mathematicae, 306 (1990), p. 1–85. MR1082412 http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.zamlynska-536d8afd-fad6-4cef-b63c-d2829aea1ffd      

7. M. M. Popov, On integrability in F-spaces, Stud. Math., 110 (3) (1994), p. 205–220. MR1292843, https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/110/3/108433/on-integrability-in-f-spaces  DOI: 10.4064/sm-110-3-205-220 

8. V. M. Kadets and M. M. Popov, The Daugavet property for narrow operators in rich subspaces of C[0,1] and L1[0,1], Algebra i Analiz, 8 (4) (1996), p. 43–62 (in Russian). English translation: Petersburg Math. J. 8 (1997), 571– 584. MR1418254, http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=728&option_lang=eng

9. M. M. Popov and B. Randrianantoanina, A pseudo-Daugavet property for narrow projections in Lorenz spaces, Ill. J. Math., 46 (4) (2002), p. 1313–1338. MR1988266, https://projecteuclid.org/euclid.ijm/1258138482

10. M. M. Popov, A hereditarily l1 subspace of L1 without the Schur property, Proc. Amer. Math. Soc., 133 (7) (2005), p. 2023–2028. MR2137868, https://www.ams.org/journals/proc/2005-133-07/S0002-9939-05-07758-0/ 

11. M. M. Popov, Weak embeddings of L1, In: «Some Open Problems on Functional Analysis and Function Theory», eds. V. K. Maslyuchenko and A. M. Plichko, Extracta Math., 20 (1) (2005), p. 66–67. Zbl 1092.46500, https://www.eweb.unex.es/eweb/extracta/Vol-20-1/20J1Masly.pdf 

12. V. V. Mykhaylyuk and M. M. Popov, Some geometric aspects of operators acting from L1, Positivity, 10 (3) (2006), p. 431–466. MR2258952, https://doi.org/10.1007/s11117-005-0041-y 

13. V. V. Mykhaylyuk and M. M. Popov, Weak embeddings of L1, Houston J. Math., 32 (4) (2006), p. 1139–1152. MR2268476, https://www.math.uh.edu/~hjm/Vol32-4.html

14. O. V. Maslyuchenko, V. V. Mykhaylyuk and M. M. Popov, Asymptotic structure and the existence of noncompact operators between Banach spaces, J. Funct. Anal., 253 (2) (2007), p. 550–560. MR 2370089 https://doi.org/10.1016/j.jfa.2007.08.015
 
15. M. M. Popov, An exact Daugavet type inequality for small into isomorphi- sms in L1, Arch. Math. (Basel), 90, No 6 (2008) p. 537–544. MR 2415297, DOI: https://doi.org/10.1007/s00013-008-2559-2 
 
16. O. V. Maslyuchenko, V. V. Mykhaylyuk and M. M. Popov, A lattice approach to narrow operators, Positivity, 13 (3) (2009), p. 459–495. MR2511237, DOI: https://doi.org/10.1007/s11117-008-2193-z
 
17. M. Martín, J. Merí and M. Popov, The polynomial Daugavet property for atomless L1(µ)-spaces, Arch. Math. (Basel) 94 (4) (2010), 383–389. MR2643972, DOI: https://doi.org/10.1007/s00013-010-0105-5

18. M. Martin, J. Meri, M. Popov and B. Randrianantoanina, Numerical index of absolute sums of Banach spaces, J. Math. Anal. Appl. 375 (1) (2011), p. 207–222. MR2735706 (2011j:46017) DOI: 10.1016/J.JMAA.2010.08.061
 
19. M. Popov and co-authors. Mikhail Iosipfovich Kadets, Russian Math. Surveys 66 (4) (2011), 179–180.

20. M. Popov, Narrow operators (a survey), Function spaces IX Banach Center Publ., Inst. of Math. Polish Acad. Sci., Warszawa, 92 (2011), 299–326. MR2884464, DOI: 10.4064/bc92-0-21

21. M. Martín, J. Merí and M. Popov, On the numerical index of the real Lp(µ)-spaces, Israel J. Math. 184 (2011), 183–192. MR2823974 (2012g:46032). DOI: 10.1007/S11856-011-0064-Y

22. M. Martín, J. Merí and M. Popov, On the numerical radius of operators in Lebesgue spaces, J. Funct. Anal. 261 (1) (2011), 149–168. MR2785896, DOI: https://doi.org/10.1016/j.jfa.2011.03.007

23. V. Kholomenyuk, V. Mykhaylyuk and M. Popov, On isomorphisms of some Köthe function F-spaces, Central European J. Math. 9 (6) (2011), 1267–1275. MR2836719 (2012g:46008)

24. V. Mykhaylyuk, M. Popov, On sums of narrow operators on Köthe function spaces. J. Math. Anal. Appl. 404 (2) (2013), 554–561. MR3045194, DOI: https://doi.org/10.1016/j.jmaa.2013.03.008

26. M. Popov, E. Semenov, D. Vatsek. Some problems on narrow operators on function spaces, Cent. Eur. J. Math. 12 (3) (2014), 476–482. MR3145905, DOI: https://doi.org/10.2478/s11533-013-0358-x

27. M. Pliev, M. Popov. Narrow orthogonally additive operators, Positivity 18 (4) (2014), 641–667. MR3275358, DOI: https://doi.org/10.1007/s11117-013-0268-y

28. V. Mykhaylyuk, M. Popov, B. Randrianantoanina, G. Schechtman. Narrow and l2-strictly singular operators from Lp, Israel J. Math. 203 (1) (2014), p. 81–108. MR3273433, DOI: https://doi.org/10.1007/s11856-014-0012-8

29. A. Gumenchuk, O. Karlova, M. Popov. Order Schauder bases in Banach lattices, J. Funct. Anal. 269 (2) (2015), p. 536–550. MR3348826, DOI: https://doi.org/10.1016/j.jfa.2015.04.008

30. V. Mykhaylyuk, M. Pliev, M. Popov, O. Sobchuk. Dividing measures and narrow operators, Stud. Math. 231 (2) (2015), p. 97–116. MR3465282, DOI: 10.4064/sm7878-2-2016

31. M. Pliev, M. Popov. On extension of abstract Uryson operators, Sib. Mat. Zh. 57 (3) (2016), p. 700–708 (in Russian). MR3548797, DOI: https://doi.org/10.1134/S0037446616030198

32. M. M. Popov, O. V. Sobchuk. On the “function” and “lattice” definitions of a narrow operator, Positivity. 22 (1) (2018), 59–62. MR3764630, DOI: https://doi.org/10.1007/s11117-017-0497-6

33. O. Maslyuchenko, M. Popov. More on representation of operators on L1. J. Math. Anal. Appl. 470 (2) (2019), 679–689. MR3870583, DOI: https://doi.org/10.1016/j.jmaa.2018.05.083

34. O. Maslyuchenko, M. Popov. On sums of strictly narrow operators acting from a Riesz space to a Banach space. J. Funct. Spaces. (2019), Art. ID 8569409, 6 pp.. MR3963605, DOI: 10.1155/2019/8569409

35. O. Fotiy, A. Gumenchuk, I. Krasikova, M. Popov. On sums of narrow and compact operators. Positivity. 24, no 1 (2020), 69–80. MR4052682, DOI: 10.1007/s11117-019-00666-4

36. V. Mykhaylyuk, M. Popov. On geometric entropy in Hilbert spaces. J. Math. Anal. Appl. 481, no 2 (2020). MR4008015, DOI: 10.1016/j.jmaa.2019.123487

37. V. Mykhaylyuk, M. Pliev, M. Popov. The lateral order on Riesz spaces and orthogonally additive operators. Positivity 25, no 2 (2021), 291-327.  DOI: https://doi.org/10.1007/s11117-020-00761-x 

38. M. Popov. Horizontal Egorov property of Riesz spaces. Proc. Amer. Math. Soc. 149, no 1 (2021), 323-332. DOI: https://doi.org/10.1090/proc/15235 

39. M. Popov. Banach lattices of orthogonally additive operators. J. Math. Anal. Appl. 514, no 1 (2022), Paper No. 126279, 26 pp. DOI: https://doi.org/10.1016/j.jmaa.2022.126279 

40. O. Fotiy, I. Krasikova, M. Pliev, M. Popov. Order continuity of orthogonally additive operators. Results in Math. 77, no 1 (2022), Paper No. 5, 19 pp. https://link.springer.com/article/10.1007%2Fs00025-021-01543-x  

41. V. Mykhaylyuk, M. Popov. $\varepsilon$-shading operator on Riesz spaces and order continuity of orthogonally additive operators. Results in Math. 77, 209 (2022). https://doi.org/10.1007/s00025-022-01742-0 

42. N. Dzhusoeva, M.S. Moslehian, M. Pliev, M. Popov. Operators, taking values in Lebesgue-Bochner spaces. Proc. Amer. Math. Soc. 151, no 8 (2023), 3493-3502. DOI: https://doi.org/10.1090/proc/16350  https://www.ams.org/journals/proc/2023-151-08/S0002-9939-2023-16350-9/?active=current 

43. O. Fotiy, V. Kadets, M. Popov. Some remarks on orthogonally additive operators on Riesz spaces. Positivity 27, 57 (2023). https://doi.org/10.1007/s11117-023-01008-1 

44. V. Mykhaylyuk, M. Pliev, M. Popov. The lateral order on Riesz spaces and orthogonally additive operators. II. Positivity 28, 8 (2024). https://doi.org/10.1007/s11117-023-01025-0 

45. M. Pliev, M. Popov. Representation theorems for regular linear and orthogonally additive operators. Math. Nachr. 297, no 1 (2024), 126–143. https://doi.org/10.1002/mana.202200129

46. M. Popov. A note on narrow operators on complex Riesz spaces. Proc. Amer. Math. Soc. Published electronically: February 2, 2024. DOI: https://doi.org/10.1090/proc/16660

1. M. M. Popov, Logical connectives as derivatives of the rules of inference, Semiotika i Informatika (Moscow), 21 (1983), p. 89–107 (in Russian). MR0724439

2. N. Kurganetsky, M. Bzovy, M. Popov, V. Savulyak and A. Lopushanskaya, Determination of optimal conditions for obtaining crystals with uniform distribution of an admixture, Fizicheskaya Khimiya (Moscow), 57 (1) (1983), p. 38–42 (in Russian).

3. A. N. Plichko and M. M. Popov, Bases in nonseparable symmetric spaces and spaces of almost periodic functions, Izv. Vuzov. Mat., 4 (1987), p. 50–59 (in Russian). MR0904981 (89e:46034), http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ivm&paperid=7729&option_lang=eng 

4. V. M. Kadets, A. N. Plichko and M. M. Popov, Complete minimal systems of a certain type in Banach spaces, Izv. Vuzov. Mat., 5 (1988), p. 33– 40 (in Russian). English translation: J. Soviet Math. (Iz. VUZ), 32 (5) (1988), p. 39–48. MR0960964, http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ivm&paperid=7958&option_lang=eng

5. Mikhail Iosiphovich Kadets (to 80-th birthday ann.), Uspekhi Mat. Nauk, 59 (5) (2004), p. 183–185 (in Russian). English translation: Russian Math. Surveys 59 (2004), no. 5, p. 1001–1004 MR2125945, DOI: https://doi.org/10.4213/rm790 

6. M. Pliev, M. Popov, O. Sobchuk. Up-martingales in vector lattices, Int. J. Math. Anal. (Ruse) 8 (22) (2014), 1041–1050. DOI: http://dx.doi.org/10.12988/ijma.2014.44117

7. M. Pliev M., M. Popov. Dominated Uryson operators, Int. J. Math. Anal. (Ruse) 8 (22) (2014), 1051–1059. DOI: http://dx.doi.org/10.12988/ijma.2014.44118

1. M. M. Popov, Isomorphic classification of the spaces Lp for 0 < p < 1, Teor. Funkts., Funkts. Anal. Primenen. (Kharkov), 47 (1987), p. 77–85 (in Russi- an). English translation: J. Soviet Math., 48 (6) (1990), p. 674–681. MR0916446, http://rave.ohiolink.edu/ejournals/article/330666385 DOI: 10.1007/BF01094722

2. V. M. Kadets and M. M. Popov, On the Liapunov convexity theorem with applications to sign-embeddings, Ukr. Mat. Zh., 44 (9) (1992), p. 1192–1200. MR1211141

3. M. M. Popov, Daugavet type inequalities for narrow operators in the space L1, Mat. Stud., 20 (1) (2003), p. 75–84. MR2019599 (2004i:46019), http://matstud.org.ua/texts/2003/20_1/75_84.pdf

4. M. M. Popov, More examples of hereditarily lp Banach spaces, Ukr. Math. Bull., 2(1) (2005), p. 95–111. MR2172327 (2006h:46010)

5. M. M. Popov, A property of convex basic sequences in L1, Methods Funct. Anal. Topology, 11 (4) (2005), p. 409–416. MR2243294, http://mfat.imath.kiev.ua/article/?id=323 

6. A. Martínez-Abejón, E. Odell, M. M. Popov, Some open problems on the classical function space L1, Mat. Stud., 24 (2) (2005), p. 173–191. MR2224004, http://matstud.org.ua/texts/2005/24_2/24_2_173_191.pdf 

7. O. V. Maslyuchenko, V. V. Mykhaylyuk and M. M. Popov, Theorems on decomposition of operators in L1 and their generalization to vector lattices, Ukr. Mat. Zh., 58 (1) (2006), p. 26–35 (in Ukrainian). English translation: Ukrainian Math. J. 58 (1) (2006), 26–35. MR2244903, DOI: https://doi.org/10.1007/s11253-006-0050-4

8. I. V. Krasikova, V. V. Mykhaylyuk and M. M. Popov, Operators defined on L1 which «nowhere» attain their norm, Methods Funct. Anal. Topology 16 (1) (2010), 17–27. MR 2656128 (2011d: 46024)

9. A. M. Plichko, M. M. Popov, Some open problems on Banach spaces, Mat. Stud. 38 (2) (2012), 203–211. MR3058486, http://matstud.org.ua/texts/2012/38_2/203-211.html 

10. I. Krasikova and M. Popov, A note on operators from Köthe function spaces to c0(Γ), Carpathian Math. Publ. 4 (1) (2012), 67–71 (in Ukrainian). http://journals.pu.if.ua/index.php/cmp/article/view/87 

11. I. V. Krasikova, M. M. Popov, An application of Kadets-Pełczyński sets to narrow operators, Zh. Mat. Fiz. Anal. Geom. 9 (1) (2013), 102–107. MR3097549, http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=jmag&paperid=551&option_lang=eng 

12. A. Gumenchuk, M. Pliev, M. Popov, Extensions of orthogonally additive operators, Mat. Stud. 41 (2) (2014), 214–219. MR3289104, http://matstud.org.ua/texts/2014/41_2/214-219.html

13. M. Popov, D. Vatsek. Wide operators on Köthe function spaces, Mat. Stud. 42 (1) (2014), 104–112. MR3381394, http://matstud.org.ua/texts/2014/42_1/104-112.html  

14. A. Dorogovtsev, M. Popov. Geometric entropy in Banach spaces, Theory Stoch. Process. 19 (2) (2014), 10–30.  MR3405380, http://tsp.imath.kiev.ua/files/1920/art1920_02.pdf 

15. A. I. Gumenchuk, I. V. Krasikova, M. M. Popov. Points of narrowness and uniformly narrow operators, Carpathian Math. Publ. 9 (1) (2017), 37–47. MR3669975, DOI: 10.15330/cmp.9.1.37-47

16. Maslyuchenko Volodymyr (September 26. 1950 - September 25, 2020),  Mat. Studii. 54 (1) (2020), 111–112. http://matstud.org.ua/ojs/index.php/matstud/article/view/134 

17. Yo. V. Ostrovskii (April 6. 1934 - November 29, 2020),  Mat. Studii. 54 (2) (2020), 222–224. http://matstud.org.ua/ojs/index.php/matstud/article/view/166

18. Mikhail Ostrovskii (for his 60th birthday) 13 (1) (2021), 272–283. Carpathian Math. Publ. https://journals.pnu.edu.ua/index.php/cmp/article/view/5118/5576 

19. M. Popov. On two long standing open problems on Lp(µ)-spaces. Carpathian Math. Publ. 12, no 1 (2020), 229-241. https://doi.org/10.15330/cmp.12.1.229-241

20. O. Fotiy, M. Ostrovskii, M. Popov. Isomorphic spectrum and isomorphic length of a Banach space. Carpathian Math. Publ. 12, no 1 (2020), 88-93. https://doi.org/10.15330/cmp.12.1.88-93  

21. A. Kamińska, I. Krasikova, M. Popov. Projection lateral bands and lateral retracts. Carpathian Math. Publ. 12, no 2 (2020), 333-339. DOI: https://doi.org/10.15330/cmp.12.2.333-339 

22. I. Krasikova, M. Pliev, M. Popov. Measurable Riesz spaces. Carpathian Math. Publ. 13, no 1 (2021), 81-88. DOI: https://doi.org/10.15330/cmp.13.1.81-88  
 
23. O. Fotiy, A. Gumenchuk, M. Popov. More on the extension of linear operators on Riesz spaces. Carpathian Math. Publ. 14, no 2 (2022), 327-331. DOI: https://doi.org/10.15330/cmp.14.2.327-331 

24. A. Gumenchuk, I. Krasikova, M. Popov. On linear sections of orthogonally additive operators. Mat. Stud. 58, no 1 (2022), 94-102. DOI: https://doi.org/10.30970/ms.58.1.94-102 

1. V. M. Kadets and M. M. Popov, Some stability theorems on narrow operators acting in L1 and C(K), Mat. Fizika, Analiz, Geom., 10 (1) (2003), p. 49–60. MR1937046, https://jmage.ilt.kharkov.ua/main.php?page=10

2. M. M. Popov, Complemented subspaces and some problems of the modern geometry of Banach spaces, Mat. Siohodni, 13 (2007), p. 78–116 (in Ukrainian). MR 2541898 (2010h: 46017)

3. A. A. Dorogovtsev and M. M. Popov, On narrowness of conditional expectation operators in spaces of measurable functions, Mat. Visn. Nauk. Tov. Im. Shevchenka, 5, (1) (2008), p. 36–46 (in Ukrainian). Zbl 1199.46075

4. Anatolij Mykolajovych Plichko (on the 60-th anniversary), Mat. Visn. Nauk. Tov. Im. Shevchenka 6 (2009), 294–312 (in Ukrainian). Zbl 1199.01049

5. To the 60-th anniversary of V.K.Maslyuchenko, Mat. Visn. Nauk. Tov. Im. Shevchenka 7 (2010), 455–483 (in Ukrainian). http://journals.iapmm.lviv.ua/ojs/index.php/MBSSS/article/view/169 

6. 5. Anatolij Mykolajovych Plichko (on the 70-th anniversary), Mat. Visn. Nauk. Tov. Im. Shevchenka 16 (2019), 1–25 (in Ukrainian).

 

1. L. N. Gurvitz, V. K. Maslyuchenko and M. M. Popov, Ordinal characteristics of partially ordered sets, VINITI Report, Chernovtsy State Univ., (1983), 25 p. (in Russian).

2. V. K. Maslyuchenko, V. V. Mykhaylyuk and M. M. Popov, Partitions of a segment into similar parts, Nauk. Visn. Chernivets’koho Univ., Mat. (Chernivtsi), 46 (1999), p. 88–94 (in Ukrainian). Zbl 1039.26002, http://bmj.fmi.org.ua/index.php/adm/article/view/284 

3. M. M. Popov, On curves with values in F-spaces, Nauk. Visn. Chernivetskoho Univ., Mat. (Chernivtsi), 76 (2000), p. 92–95 (in Ukrainian). Zbl 1039.26010, http://bmj.fmi.org.ua/index.php/adm/article/view/315 

4. M. M. Popov, Reproducibility of sequences in Banach spaces, Nauk. Visn. Chernivets’koho Univ., Mat. (Chernivtsi), 160 (2003), p. 104–108 (in Ukraini- an). Zbl 1071.46020, http://bmj.fmi.org.ua/index.php/adm/article/view/401 

5. M. M. Popov, Sign-embeddings of the spaces Lp for 0 < p < 1, Nauk. Visn. Chernivets’koho Univ., Mat. (Chernivtsi), 228 (2004), p. 108–109 (in Ukrainian). Zbl 1069.47500, http://bmj.fmi.org.ua/index.php/adm/article/view/451

6. O. V. Maslyuchenko, V. V. Mykhaylyuk and M. M. Popov, Asymptotic norm and compact operators, Nauk. Visn. Chernivets’koho Univ., Mat. (Cherni- vtsi), 269 (2005), p. 73–75 (in Ukrainian). Zbl 1100.47502, http://bmj.fmi.org.ua/index.php/adm/article/view/485 

7. M. M. Popov, The Rosenthal subsequence splitting lemma in L1, Mat. Visn. Nauk. Tov. Im. Shevchenka, 2 (2005), p. 147–150 (in Ukrainian). Zbl 1144.46306

8. I. V. Krasikova and M. M. Popov, On a generalization of the notion of compact operator on the spaces Lp, Nauk. Visn. Chernivetskoho Univ., Mat. (Chernivtsi), 501 (2010), p. 38–42 (in Ukrainian). Zbl 1240.46058

9. A. I. Gumenchuk, M. M. Popov. On the sum of a narrow and a finite rank operators on vector lattices, Bukovinian Math. J. 5 (1-2) (2017), 62–70 (in Ukrainian). http://bmj.fmi.org.ua/index.php/adm/article/view/232 

10. Vladimir Mikhailovich Kadets (to 60th anniversary), Visnyk of V.N. Karazin Nat. Univ. Ser. Math., Appl. Math. and Mech. 92 (2020), 57–58. http://vestnik-math.univer.kharkov.ua/Visnyk-KhNU-92-2020-Kadets.pdf 

11. I.V. Krasikova, M.A. Pliev, M.M. Popov, O.G. Fotiy. On separate order continuity of orthogonally additive operators (dedicated to the memory of V.K. Maslyuchenko). Bukovinian Math. J. 9, no 1 (2021) (in Ukrainian). DOI: https://doi.org/10.31861/bmj2021.01.17 

 

  1. Міжнародна конференція присвячена 145 річниці від дня народження Ганса Гана, 23 вересня -  27 вересня 2024р. https://hahn.chnu.edu.ua/
  2. Banach Spaces and their Applications (International Conference dedicated to the 70th anniversary of Anatolij Plichko, Lviv, Ukraine, 26-29 June, 2019.
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