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Bikchentaev, Airat Midkhatovich

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Total publications: 45
Scientific articles: 43
Presentations: 1

Number of views:
This page:5611
Abstract pages:17647
Full texts:8704
References:6928
Bikchentaev, Airat Midkhatovich
Associate professor
Doctor of physico-mathematical sciences (2012)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 28.04.1960
E-mail:
Keywords: quantum logics, fuzzy sets, von Neumann algebra, Hilbert space, trace, weight, projection, measurable operator, noncommutative integration, measure topology.
UDC: 517.98, 517.983, 517.986, 517.987

Subject:

Operator theory, noncommutative integration.

   
Main publications:
  • Amer. Math. Soc. Transl. Ser. 2, 1992.
  • Intern. J. Theor. Physics, V. 37(1998), no. 1, 571–576.
  • Dokl. RAN, Tom 393 (2003), no. 4, 444–447.
  • Matematicheskie zametki, T. 64 (1998), no. 2, 185–190; T. 75 (2004), no. 3, 342–349; T. 76 (2004), no. 3, 625–628; T. 79 (2006), no. 2, 311–315; T. 82 (2007), no. 5, 783–786.
  • Sibirskii matem. zhurn., 46 (2005), no. 1, 32–45.
  • Matematicheskii sbornik, 2008.
  • Tr. Matem. in-ta im. V. A. Steklova, T. 255 (2006), 41–54.

http://www.mathnet.ru/eng/person18192
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/230625

Publications in Math-Net.Ru
2020
1. A. M. Bikchentaev, “Convergence in measure and $\tau$-compactness of $\tau$-measurable operators, affiliated with a semifinite von Neumann algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, 5,  89–93  mathnet
2. A. M. Bikchentaev, “Seminorms Associated with Subadditive Weights on $C^*$-Algebras”, Mat. Zametki, 107:3 (2020),  341–350  mathnet  elib; Math. Notes, 107:3 (2020), 383–391  isi  scopus
3. A. M. Bikchentaev, “Неравенства для определителей и характеризация следа”, Sibirsk. Mat. Zh., 61:2 (2020),  314–321  mathnet
2019
4. A. M. Bikchentaev, “Ideal $F$-norms on $C^*$-algebras. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, 3,  90–96  mathnet
5. A. M. Bikchentaev, “Trace and Differences of Idempotents in $C^*$-Algebras”, Mat. Zametki, 105:5 (2019),  647–655  mathnet  elib; Math. Notes, 105:5 (2019), 641–648  isi  scopus
6. A. M. Bikchentaev, “Метрики на проекторах алгебры фон Неймана, ассоциированные со следовыми функционалами”, Sibirsk. Mat. Zh., 60:6 (2019),  1223–1228  mathnet
7. A. M. Bikchentaev, “Renormalizations of measurable operator ideal spaces affiliated to semi-finite von Neumann algebra”, Ufimsk. Mat. Zh., 11:3 (2019),  3–9  mathnet; Ufa Math. J., 11:3 (2019), 3–10  isi  scopus
2018
8. A. M. Bikchentaev, “Trace and Commutators of Measurable Operators Affiliated to a von Neumann Algebra”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151 (2018),  10–20  mathnet  mathscinet
9. A. M. Bikchentaev, S. A. Abed, “Paranormal elements in normed algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, 5,  13–19  mathnet; Russian Math. (Iz. VUZ), 62:5 (2018), 10–15  isi  scopus
10. A. M. Bikchentaev, “Ideal spaces of measurable operators affiliated to a semifinite von Neumann algebra”, Sibirsk. Mat. Zh., 59:2 (2018),  309–320  mathnet  elib; Siberian Math. J., 59:2 (2018), 243–251  isi  scopus
11. A. M. Bikchentaev, “Differences of idempotents in $C^*$-algebras and the quantum Hall effect”, TMF, 195:1 (2018),  75–80  mathnet  elib; Theoret. and Math. Phys., 195:1 (2018), 557–562  isi  scopus
12. A. M. Bikchentaev, “On an analog of the M. G. Krein theorem for measurable operators”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:2 (2018),  243–249  mathnet  isi
2017
13. A. M. Bikchentaev, “On the $\tau$-compactness of products of $\tau$-measurable operators adjoint to semi-finite von Neumann algebras”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 140 (2017),  78–87  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 241:4 (2019), 458–468
14. A. M. Bikchentaev, “Two classes of $\tau$-measurable operators affiliated with a von Neumann algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 1,  86–91  mathnet; Russian Math. (Iz. VUZ), 61:1 (2017), 76–80  isi  scopus
15. A. M. Bikchentaev, “Differences of idempotents in $C^*$-algebras”, Sibirsk. Mat. Zh., 58:2 (2017),  243–250  mathnet  elib; Siberian Math. J., 58:2 (2017), 183–189  isi  elib  scopus
2016
16. A. M. Bikchentaev, “On operator monotone and operator convex functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 5,  70–74  mathnet; Russian Math. (Iz. VUZ), 60:5 (2016), 61–65  isi  scopus
17. A. M. Bikchentaev, “On Idempotent $\tau$-Measurable Operators Affiliated to a von Neumann Algebra”, Mat. Zametki, 100:4 (2016),  492–503  mathnet  mathscinet  elib; Math. Notes, 100:4 (2016), 515–525  isi  scopus
18. A. M. Bikchentaev, “Inequality for a Trace on a Unital $C^*$-Algebra”, Mat. Zametki, 99:4 (2016),  483–488  mathnet  mathscinet  elib; Math. Notes, 99:4 (2016), 487–491  isi  scopus
19. A. M. Bikchentaev, “Convergence of integrable operators affiliated to a finite von Neumann algebra”, Tr. Mat. Inst. Steklova, 293 (2016),  73–82  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 293 (2016), 67–76  isi  scopus
2015
20. A. M. Bikchentaev, “Ideal $F$-norms on $C^*$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 5,  69–74  mathnet; Russian Math. (Iz. VUZ), 59:5 (2015), 58–63  scopus
21. A. M. Bikchentaev, “Concerning the Theory of $\tau$-Measurable Operators Affiliated to a Semifinite von Neumann Algebra”, Mat. Zametki, 98:3 (2015),  337–348  mathnet  mathscinet  elib; Math. Notes, 98:3 (2015), 382–391  isi  scopus
2014
22. A. M. Bikchentaev, “On Normal $\tau$-Measurable Operators Affiliated with Semifinite Von Neumann Algebras”, Mat. Zametki, 96:3 (2014),  350–360  mathnet  mathscinet  zmath  elib; Math. Notes, 96:3 (2014), 332–341  isi  elib  scopus
23. A. M. Bikchentaev, “On additivity of mappings on measurable functions”, Sibirsk. Mat. Zh., 55:1 (2014),  11–16  mathnet  mathscinet; Siberian Math. J., 55:1 (2014), 7–11  isi  scopus
2013
24. A. M. Bikchentaev, “The Haagerup problem on subadditive weights on $W^*$-algebras. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 12,  72–76  mathnet; Russian Math. (Iz. VUZ), 57:12 (2013), 66–69  scopus
2012
25. A. M. Bikchentaev, “Block projection operators in normed solid spaces of measurable operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 2,  86–91  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:2 (2012), 75–79  scopus
26. A. M. Bikchentaev, A. A. Sabirova, “Dominated convergence in measure on semifinite von Neumann algebras and arithmetic averages of measurable operators”, Sibirsk. Mat. Zh., 53:2 (2012),  258–270  mathnet  mathscinet; Siberian Math. J., 53:2 (2012), 207–216  isi  scopus
2011
27. A. M. Bikchentaev, “The Haagerup problem on subadditive weights on $W^*$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 10,  94–98  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:10 (2011), 82–85  scopus
28. A. M. Bikchentaev, “Commutation of Projections and Trace Characterization on von Neumann Algebras. II”, Mat. Zametki, 89:4 (2011),  483–494  mathnet  mathscinet; Math. Notes, 89:4 (2011), 461–471  isi  scopus
2010
29. A. M. Bikchentaev, “On a Lemma of Berezin”, Mat. Zametki, 87:5 (2010),  787–791  mathnet  mathscinet; Math. Notes, 87:5 (2010), 768–773  isi  scopus
30. A. M. Bikchentaev, “Commutativity of projections and characterization of traces on von Neumann algebras”, Sibirsk. Mat. Zh., 51:6 (2010),  1228–1236  mathnet  mathscinet  elib; Siberian Math. J., 51:6 (2010), 971–977  isi  scopus
2009
31. A. M. Bikchentaev, “Commutativity of projectors and trace characterization on von Neumann algebras. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, 12,  80–83  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:12 (2009), 68–71
2008
32. A. M. Bikchentaev, “On the representation of elements of a von Neumann algebra in the form of finite sums of products of projections. III. Commutators in $C^*$-algebras”, Mat. Sb., 199:4 (2008),  3–20  mathnet  mathscinet  zmath  elib; Sb. Math., 199:4 (2008), 477–493  isi  elib  scopus
2007
33. A. M. Bikchentaev, “Local Convergence in Measure on Semifinite von Neumann Algebras, II”, Mat. Zametki, 82:5 (2007),  783–786  mathnet  mathscinet  zmath  elib; Math. Notes, 82:5 (2007), 703–707  isi  scopus
2006
34. A. M. Bikchentaev, “Projection-Convex Combinations in $C^*$-Algebras and the Invariant Subspace Problem, I”, Mat. Zametki, 79:2 (2006),  311–315  mathnet  mathscinet  zmath  elib; Math. Notes, 79:2 (2006), 285–290  isi  scopus
35. A. M. Bikchentaev, “Local Convergence in Measure on Semifinite von Neumann Algebras”, Tr. Mat. Inst. Steklova, 255 (2006),  41–54  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 255 (2006), 35–48  scopus
2005
36. A. M. Bikchentaev, “On representation of elements of a Von Neumann algebra in the form of finite sums of products of projections”, Sibirsk. Mat. Zh., 46:1 (2005),  32–45  mathnet  mathscinet  zmath; Siberian Math. J., 46:1 (2005), 24–34  isi
2004
37. A. M. Bikchentaev, “The continuity of multiplication for two topologies associated with a Semifinite trace on von Neumann algebra”, Lobachevskii J. Math., 14 (2004),  17–24  mathnet  mathscinet  zmath
38. A. M. Bikchentaev, A. N. Sherstnev, “Projective Convex Combinations in $C^*$-Algebras with the Unitary Factorization Property”, Mat. Zametki, 76:4 (2004),  625–628  mathnet  mathscinet  zmath; Math. Notes, 76:4 (2004), 578–581  isi  scopus
39. A. M. Bikchentaev, “Minimality of Convergence in Measure Topologies on Finite von Neumann Algebras”, Mat. Zametki, 75:3 (2004),  342–349  mathnet  mathscinet  zmath; Math. Notes, 75:3 (2004), 315–321  isi
1998
40. A. M. Bikchentaev, “On a property of $L_p$ spaces on semifinite von Neumann algebras”, Mat. Zametki, 64:2 (1998),  185–190  mathnet  mathscinet  zmath; Math. Notes, 64:2 (1998), 159–163  isi
1992
41. A. M. Bikchentaev, “The triangle inequality for some spaces of measurable operators”, Konstr. Teor. Funkts. Funkts. Anal., 8 (1992),  23–32  mathnet  mathscinet  zmath
1987
42. A. M. Bikchentaev, “A connection between random and fuzzy metrics. II”, Konstr. Teor. Funkts. Funkts. Anal., 6 (1987),  58–61  mathnet  mathscinet  zmath
1985
43. A. M. Bikchentaev, “A connection between random and fuzzy metrics”, Konstr. Teor. Funkts. Funkts. Anal., 5 (1985),  3–15  mathnet  mathscinet  zmath

2018
44. L. A. Aksent'ev, A. I. Aptekarev, A. M. Bikchentaev, V. V. Goryainov, V. N. Dubinin, A. M. Elizarov, I. R. Kayumov, A. Laptev, S. R. Nasyrov, D. V. Prokhorov, A. G. Sergeev, V. D. Stepanov, “Farit Gabidinovich Avkhadiev (on his 70th birthday)”, Uspekhi Mat. Nauk, 73:1(439) (2018),  187–190  mathnet  mathscinet  elib; Russian Math. Surveys, 73:1 (2018), 181–185  isi
45. A. M. Bikchentaev, S. R. Nasyrov, E. A. Turilova, “Anatolij Nikolaevich Sherstnev (on 80th birthday anniversary)”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 160:3 (2018),  590–598  mathnet

Presentations in Math-Net.Ru
1. О $\tau$-измеримых операторах, присоединенных к полуконечной алгебре фон Неймана
A. M. Bikchentaev
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 17:05

Organisations
 
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