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Chilin, Vladimir Ivanovich

Statistics Math-Net.Ru
Total publications: 50
Scientific articles: 49
Presentations: 26

Number of views:
This page:2777
Abstract pages:10924
Full texts:3808
References:1266
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 09.02.1951
E-mail: ,
Keywords: Von Neumann algebras, non commutatuve integration, symmetric spaces of measurable functions and mesurable operators, ergodic theorems for contractions.
UDC: 517.98, 517.982, 517.986, 517.987
MSC: 46Exx, 46Hxx, 46Lxx, 46L50, 47D40

Subject:

Non commutative symmetric spaces. Theory of deivations on operator algebras.

   
Main publications:
  • Chilin V. I., Medzjitov A. M., Sukochev F. A. Isometrics of non-commutative Lorentz spaces // Math. Zeitschrift, 1989, v. 200, p. 527–545.
  • Chilin V. I., Sukochev F. A. Weak convergence in non-commutative symmetric spaces // J. Operator Theory, 1994, v. 31, p. 35–65.
  • Bendersky O. Ja., Chilin V. I., Litvinov S. N. A description of the commutative symmetric operator algebras in Pontryagin space // J. Operator Theory, 1997, v. 37, 2, p. 201–222.
  • Abdullaev R., Chilin V. I. Arens algebras, associated with commutative von Neumann algebras // Ann. Math. Blaise Pascal, 1998, v. 5, № 1, p. 1–12.

https://www.mathnet.ru/eng/person18025
https://scholar.google.com/citations?user=bYCgwa4AAAAJ&hl=en
https://zbmath.org/authors/?q=ai:ai:chilin.vladimir-ivanovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/196460
https://elibrary.ru/author_items.asp?authorid=494047
https://www.scopus.com/authid/detail.url?authorId=55917556500
https://www.researchgate.net/profile/Vladimir_Chilin

Publications in Math-Net.Ru Citations
2023
1. V. I. Chilin, G. B. Zakirova, “Linear Isometries of Banach-Kantorovich $L_p$-spaces”, Taurida Journal of Computer Science Theory and Mathematics, 2023, no. 1,  7–18  mathnet
2. B. S. Zakirov, V. I. Chilin, “Positive isometries of Orlicz–Kantorovich spaces”, Vladikavkaz. Mat. Zh., 25:2 (2023),  103–116  mathnet
2021
3. A. S. Veksler, V. I. Chilin, “Statistical ergodic theorem in symmetric spaces for infinite measures”, CMFD, 67:4 (2021),  654–667  mathnet
4. B. R. Aminov, V. I. Chilin, “Weak continuity of skew-Hermitian operators in Banach ideals”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 197 (2021),  3–11  mathnet
5. A. N. Azizov, V. I. Chilin, “Ergodic theorems in Banach ideals of compact operators”, Sib. Èlektron. Mat. Izv., 18:1 (2021),  534–547  mathnet  isi
2020
6. R. Abdullaev, V. Chilin, B. Madaminov, “Isometries of spaces of $LOG$-integrable functions”, Sib. Èlektron. Mat. Izv., 17 (2020),  218–226  mathnet  isi 1
7. A. N. Azizov, V. I. Chilin, “Ergodic theorems for flows in the ideals of compact operators”, Taurida Journal of Computer Science Theory and Mathematics, 2020, no. 4,  7–17  mathnet
2019
8. V. I. Chilin, J. A. Karimov, “The cyclical compactness in Banach $C_{\infty}(Q)$-modules”, CMFD, 65:1 (2019),  137–155  mathnet
9. K. K. Muminov, V. I. Chilin, “Basis of trancendense in differential field of invariants of pseugo-Galilean group”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 3,  19–31  mathnet; Russian Math. (Iz. VUZ), 63:3 (2019), 15–24  isi  scopus 2
10. B. R. Aminov, V. I. Chilin, “Isometries of real subspaces of self-adjoint operators in banach symmetric ideals”, Vladikavkaz. Mat. Zh., 21:4 (2019),  11–24  mathnet 1
11. A. A. Alimov, V. I. Chilin, “$2$-Local isometries of non-commutative Lorentz spaces”, Vladikavkaz. Mat. Zh., 21:4 (2019),  5–10  mathnet
2018
12. V. I. Chilin, K. K. Muminov, “Equivalence of Paths in Galilean Geometry”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144 (2018),  3–16  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 245:3 (2020), 297–310 2
13. A. F. Ber, V. I. Chilin, F. A. Sukochev, “Derivations on Banach $*$-ideals in von Neumann algebras”, Vladikavkaz. Mat. Zh., 20:2 (2018),  23–28  mathnet  elib
14. B. R. Aminov, V. I. Chilin, “The uniqueness of the symmetric structure in ideals of compact operators”, Vladikavkaz. Mat. Zh., 20:1 (2018),  30–37  mathnet  elib
15. A. A. Alimov, V. I. Chilin, “Derivations with values in an ideal $F$-spaces of measurable functions”, Vladikavkaz. Mat. Zh., 20:1 (2018),  21–29  mathnet  elib
2017
16. B. R. Aminov, V. I. Chilin, “Isometries and Hermitian operators on complex symmetric sequence spaces”, Mat. Tr., 20:1 (2017),  21–42  mathnet  elib; Siberian Adv. Math., 27:4 (2017), 239–252  scopus 2
17. A. N. Azizov, V. I. Chilin, “Embedding of symmetric functional spaces”, Acta NUUz. Exact Sciences, 2017, no. 1,  54–59  mathnet
18. V. I. Chilin, K. K. Muminov, “The classification of paths in the Galilean geometry”, Taurida Journal of Computer Science Theory and Mathematics, 2017, no. 1,  95–111  mathnet
19. A. N. Azizov, V. I. Chilin, “Blum–Hanson ergodic theorem in a Banach lattices of sequences”, Vladikavkaz. Mat. Zh., 19:3 (2017),  3–10  mathnet
2016
20. M. A. Muratov, V. I. Chilin, “Topological algebras of measurable and locally measurable operators”, CMFD, 61 (2016),  115–163  mathnet 1
2014
21. V. I. Chilin, M. M. Yusupova, “Lattice normed lattices with monotonically complete and order semicontinuous norm”, Dal'nevost. Mat. Zh., 14:2 (2014),  280–296  mathnet
22. A. F. Ber, G. B. Levitina, V. I. Chilin, “Derivations with values in quasi-normed bimodules of locally measurable operators”, Mat. Tr., 17:1 (2014),  3–18  mathnet  mathscinet; Siberian Adv. Math., 25:3 (2015), 169–178 8
23. V. I. Chilin, J. A. Karimov, “Laterally complete $C_\infty(Q)$-modules”, Vladikavkaz. Mat. Zh., 16:2 (2014),  69–78  mathnet 3
2013
24. G. B. Levitina, V. I. Chilin, “Derivations on ideals in commutative $AW^*$-algebras”, Mat. Tr., 16:1 (2013),  63–88  mathnet  mathscinet; Siberian Adv. Math., 24:1 (2014), 26–42 2
2010
25. B. S. Zakirov, V. I. Chilin, “Noncommutative integration for traces with values in Kantorovich–Pinsker spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 10,  18–30  mathnet  mathscinet; Russian Math. (Iz. VUZ), 54:10 (2010), 15–26  scopus 2
2009
26. B. S. Zakirov, V. I. Chilin, “Ergodic theorems for contractions in Orlicz–Kantorovich lattices”, Sibirsk. Mat. Zh., 50:6 (2009),  1305–1318  mathnet  mathscinet; Siberian Math. J., 50:6 (2009), 1027–1037  isi  scopus 5
2008
27. V. I. Chilin, I. G. Ganiev, K. K. Kudaibergenov, “The Gel'fand-Naĭmark theorem for $C^*$-algebras over a ring of measurable functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 2,  60–68  mathnet  mathscinet; Russian Math. (Iz. VUZ), 52:2 (2008), 58–66 4
28. B. S. Zakirov, V. I. Chilin, “Decomposable measures with values in order-complete vector lattices”, Vladikavkaz. Mat. Zh., 10:4 (2008),  31–38  mathnet  mathscinet 1
2007
29. V. I. Chilin, I. G. Ganiev, K. K. Kudaibergenov, “GNS-representations of $C^*$-algebras over the ring of measurable function”, Vladikavkaz. Mat. Zh., 9:2 (2007),  33–39  mathnet  mathscinet 6
2006
30. Vladimir Chilin, Semyon Litvinov, “A Banach Principle for Semifinite von Neumann Algebras”, SIGMA, 2 (2006), 023, 9 pp.  mathnet  mathscinet  zmath  isi  scopus 2
2005
31. M. A. Muratov, V. I. Chilin, “$*$-algebras of unbounded operators affiliated with a von Neumann algebra”, Zap. Nauchn. Sem. POMI, 326 (2005),  183–197  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:3 (2007), 445–451  scopus 8
2004
32. F. A. Sukochev, V. I. Chilin, A. F. Ber, “Derivations in Commutative Regular Algebras”, Mat. Zametki, 75:3 (2004),  453–454  mathnet  mathscinet  zmath; Math. Notes, 75:3 (2004), 418–419  isi 14
2003
33. I. G. Ganiev, V. I. Chilin, “Measurable bundles of $C^*$-algebras”, Vladikavkaz. Mat. Zh., 5:1 (2003),  35–38  mathnet  mathscinet  zmath 10
2001
34. I. G. Ganiev, V. I. Chilin, “Measurable Bundles of Noncommutative $L_p$-Spaces Associated with a Center-valued Trace”, Mat. Tr., 4:2 (2001),  27–41  mathnet  mathscinet  zmath; Siberian Adv. Math., 12:4 (2002), 19–33 7
2000
35. V. I. Chilin, I. G. Ganiev, “An individual ergodic theorem for contractions in the Banach–Kantorovich lattice $L_p(\widehat\nabla,\widehat\mu)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 7,  81–83  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 44:7 (2000), 77–79 5
1991
36. A. V. Krygin, F. A. Sukochev, V. I. Chilin, “Uniform convexity and local uniform convexity of symmetric spaces of measurable operators”, Dokl. Akad. Nauk SSSR, 317:3 (1991),  555–558  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 445–448
37. B. S. Zakirov, V. I. Chilin, “Abstract characterization of $EW^*$-algebras”, Funktsional. Anal. i Prilozhen., 25:1 (1991),  76–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 25:1 (1991), 63–64  isi 7
1990
38. F. A. Sukochev, V. I. Chilin, “Symmetric spaces over semifinite von Neumann algebras”, Dokl. Akad. Nauk SSSR, 313:4 (1990),  811–815  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 97–101 3
39. F. A. Sukochev, V. I. Chilin, “Convergence in measure in regular noncommutative symmetric spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 9,  63–70  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 34:9 (1990), 78–87
1987
40. F. A. Sukochev, V. I. Chilin, “Description of closed convex symmetric sets of measurable operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 10,  31–37  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:10 (1987), 39–46 1
1985
41. V. I. Chilin, “Ordered $\ast$-algebroids”, Dokl. Akad. Nauk SSSR, 281:5 (1985),  1063–1067  mathnet  mathscinet  zmath
42. V. I. Chilin, “Partially ordered Baer involutive algebras”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 27 (1985),  99–128  mathnet  mathscinet  zmath; J. Soviet Math., 37:6 (1987), 1449–1472 9
1982
43. V. I. Chilin, “Monotone completeness of semifinite $AW^{\ast}$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 8,  71–72  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 26:8 (1982), 85–87
1981
44. V. I. Chilin, “Baer ordered $*$-algebras”, Dokl. Akad. Nauk SSSR, 258:5 (1981),  1065–1069  mathnet  mathscinet  zmath 2
1980
45. V. I. Chilin, “Topological $O^*$-algebras”, Funktsional. Anal. i Prilozhen., 14:1 (1980),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:1 (1980), 73–74
1976
46. T. A. Sarymsakov, V. I. Chilin, “Uniformities and outer valuations on logics”, Dokl. Akad. Nauk SSSR, 230:6 (1976),  1282–1285  mathnet  mathscinet  zmath 1
47. T. A. Sarymsakov, O. Ya. Benderskii, V. I. Chilin, “Measures with values in semifields and their applications in probability theory”, Dokl. Akad. Nauk SSSR, 228:1 (1976),  41–44  mathnet  mathscinet  zmath 1
1974
48. T. A. Sarymsakov, V. G. Vinokurov, V. I. Chilin, “Measures on topological Boolean algebras”, Dokl. Akad. Nauk SSSR, 218:1 (1974),  42–45  mathnet  mathscinet  zmath 3
49. T. A. Sarymsakov, B. A. Rubshtein, V. I. Chilin, “Complete tensor products of topological semifields”, Dokl. Akad. Nauk SSSR, 216:6 (1974),  1226–1228  mathnet  mathscinet  zmath 4

2018
50. Sh. A. Ayupov, V. I. Chilin, R. N. Ganikhodzhaev, K. K. Muminov, A. Artikbaev, B. S. Zakirov, A. Alimov, K. K. Kudaybergenov, F. Mukhamedov, U. Bekboev, I. Rakhimov, “To the memory of Inomjon Gulomjonovich Ganiev”, Vladikavkaz. Mat. Zh., 20:1 (2018),  98–102  mathnet

Presentations in Math-Net.Ru
1. Дизъюнктно полные коммутативные регулярные алгебры
A. F. Ber, V. I. Chilin
Functional analysis and its applications
November 11, 2021 09:00
2. Алгебры Стоуна и модули Капланского—Гильберта
V. I. Chilin, K. K. Kudaybergenov
Functional analysis and its applications
June 3, 2021 09:00
3. Нерешённые задачи в теории топологических булевых алгебр и полуполей
V. I. Chilin
Functional analysis and its applications
February 4, 2021 09:00
4. Isometries of Banach ideals of compact operators
B. R. Aminov, V. I. Chilin
Functional analysis and its applications
September 17, 2020 09:00
5. Ergodic theorems in Banach ideals of compact operators
A. N. Azizov, V. I. Chilin
Functional analysis and its applications
September 3, 2020 09:00
6. Almost uniform convergence in Wiener-Wintner ergodic theorem
V. I. Chilin, S. N. Litvinov
Functional analysis and its applications
June 11, 2020 17:00
7. Dominated ergodic theorem in function symmetric spaces
V. I. Chilin, A. N. Azizov
Functional analysis and its applications
April 23, 2020 17:00
8. Изометрии некоммутативных симметричных атомических пространств
V. I. Chilin, B. R. Aminov
Functional analysis and its applications
March 5, 2020 10:30
9. Теорема Питта для идеалов Шаттена $C_p$
V. I. Chilin, O. S. Sadovskaya
Functional analysis and its applications
November 28, 2019 10:30
10. Isometric $F$-spaces of $\log$-integrable functions
R. Z. Abdullaev, V. I. Chilin
Functional analysis and its applications
September 12, 2019 10:30
11. Доминатные эргодические теоремы
V. I. Chilin, A. N. Azizov
Functional analysis and its applications
September 5, 2019 10:30
12. Individual ergodic theorems for infinite measure
S. N. Litvinov, V. I. Chilin
Seminar of Laboratory of Theory of Functions "Modern Problems of Complex Analysis"
May 30, 2019 12:15
13. Derivations into ideals of a von Neumann algebra
V. I. Chilin, F. A. Sukochev
Functional analysis and its applications
March 7, 2019 10:30
14. Классификация путей в геометрии Галилея
K. K. Muminov, V. I. Chilin
Functional analysis and its applications
February 28, 2019 10:30
15. Ergodic theorems in Banach ideals of compact operators
A. N. Azizov, V. I. Chilin, S. N. Litvinov
Functional analysis and its applications
February 14, 2019 10:30
16. Isometries of real space of self-adjoint operators in Banach symmetric ideal
B. R. Aminov, V. I. Chilin
Functional analysis and its applications
February 7, 2019 10:30
17. Noncommutative weighted individual ergodic theorems with continuous time
V. I. Chilin, S. N. Litvinov
Functional analysis and its applications
September 6, 2018 10:30
18. Isomorphic classification of $\ast$-algebras of $\log$-integrable measurable functions
R. Z. Abdullaev, V. I. Chilin
Functional analysis and its applications
May 3, 2018 10:30
19. Individual ergodic theorem in symmetric ideals of compact operators
A. N. Azizov, V. I. Chilin
Functional analysis and its applications
April 19, 2018 10:30
20. The uniqueness of the symmetric structure of Schatten-Lorentz ideals
V. I. Chilin
Functional analysis and its applications
December 14, 2017 10:30
21. Individual and mean ergodic theorems in symmetric spaces of functions
V. I. Chilin, A. N. Azizov
Functional analysis and its applications
December 7, 2017 10:30
22. Description of single-valued extensions of derivations in algebra measurable functions on interval $[a,b]$
A. F. Ber, V. I. Chilin, F. A. Sukochev
Functional analysis and its applications
October 5, 2017 10:30
23. Ergodic theorems in symmetric sequence spaces
V. I. Chilin, A. Azizov
Functional analysis and its applications
September 21, 2017 10:30
24. One-sided convergence in noncommutative individual ergodic theorems
V. I. Chilin, S. N. Litvinov
Functional analysis and its applications
March 23, 2017 10:30
25. Pointwise ergodic theorems in function symmetric spaces
V. I. Chilin, S. N. Litvinov
Functional analysis and its applications
November 24, 2016 10:30
26. Blum–Hanson ergodic theorems in noncommutative symmetric spaces
V. I. Chilin, F. A. Sukochev
Functional analysis and its applications
September 22, 2016 10:30

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