Persons: Bikchentaev, Airat Midkhatovich

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Bikchentaev, Airat Midkhatovich

Statistics Math-Net.Ru
Total publications:	45
Scientific articles:	43
Presentations:	1

Number of views:
This page:	5611
Abstract pages:	17647
Full texts:	8704
References:	6928

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
2.	A. M. Bikchentaev, “Seminorms Associated with Subadditive Weights on $C^*$-Algebras”, Mat. Zametki, 107:3 (2020), 341–350 ; Math. Notes, 107:3 (2020), 383–391
3.	A. M. Bikchentaev, “Неравенства для определителей и характеризация следа”, Sibirsk. Mat. Zh., 61:2 (2020), 314–321
	2019
4.	A. M. Bikchentaev, “Ideal $F$-norms on $C^*$-algebras. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, 3, 90–96
5.	A. M. Bikchentaev, “Trace and Differences of Idempotents in $C^*$-Algebras”, Mat. Zametki, 105:5 (2019), 647–655 ; Math. Notes, 105:5 (2019), 641–648
6.	A. M. Bikchentaev, “Метрики на проекторах алгебры фон Неймана, ассоциированные со следовыми функционалами”, Sibirsk. Mat. Zh., 60:6 (2019), 1223–1228
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 ; Ufa Math. J., 11:3 (2019), 3–10
	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
9.	A. M. Bikchentaev, S. A. Abed, “Paranormal elements in normed algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, 5, 13–19 ; Russian Math. (Iz. VUZ), 62:5 (2018), 10–15
10.	A. M. Bikchentaev, “Ideal spaces of measurable operators affiliated to a semifinite von Neumann algebra”, Sibirsk. Mat. Zh., 59:2 (2018), 309–320 ; Siberian Math. J., 59:2 (2018), 243–251
11.	A. M. Bikchentaev, “Differences of idempotents in $C^*$-algebras and the quantum Hall effect”, TMF, 195:1 (2018), 75–80 ; Theoret. and Math. Phys., 195:1 (2018), 557–562
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
	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 ; 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 ; Russian Math. (Iz. VUZ), 61:1 (2017), 76–80
15.	A. M. Bikchentaev, “Differences of idempotents in $C^*$-algebras”, Sibirsk. Mat. Zh., 58:2 (2017), 243–250 ; Siberian Math. J., 58:2 (2017), 183–189
	2016
16.	A. M. Bikchentaev, “On operator monotone and operator convex functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, 5, 70–74 ; Russian Math. (Iz. VUZ), 60:5 (2016), 61–65
17.	A. M. Bikchentaev, “On Idempotent $\tau$-Measurable Operators Affiliated to a von Neumann Algebra”, Mat. Zametki, 100:4 (2016), 492–503 ; Math. Notes, 100:4 (2016), 515–525
18.	A. M. Bikchentaev, “Inequality for a Trace on a Unital $C^*$-Algebra”, Mat. Zametki, 99:4 (2016), 483–488 ; Math. Notes, 99:4 (2016), 487–491
19.	A. M. Bikchentaev, “Convergence of integrable operators affiliated to a finite von Neumann algebra”, Tr. Mat. Inst. Steklova, 293 (2016), 73–82 ; Proc. Steklov Inst. Math., 293 (2016), 67–76
	2015
20.	A. M. Bikchentaev, “Ideal $F$-norms on $C^*$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 5, 69–74 ; Russian Math. (Iz. VUZ), 59:5 (2015), 58–63
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 ; Math. Notes, 98:3 (2015), 382–391
	2014
22.	A. M. Bikchentaev, “On Normal $\tau$-Measurable Operators Affiliated with Semifinite Von Neumann Algebras”, Mat. Zametki, 96:3 (2014), 350–360 ; Math. Notes, 96:3 (2014), 332–341
23.	A. M. Bikchentaev, “On additivity of mappings on measurable functions”, Sibirsk. Mat. Zh., 55:1 (2014), 11–16 ; Siberian Math. J., 55:1 (2014), 7–11
	2013
24.	A. M. Bikchentaev, “The Haagerup problem on subadditive weights on $W^*$-algebras. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 12, 72–76 ; Russian Math. (Iz. VUZ), 57:12 (2013), 66–69
	2012
25.	A. M. Bikchentaev, “Block projection operators in normed solid spaces of measurable operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, 2, 86–91 ; Russian Math. (Iz. VUZ), 56:2 (2012), 75–79
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 ; Siberian Math. J., 53:2 (2012), 207–216
	2011
27.	A. M. Bikchentaev, “The Haagerup problem on subadditive weights on $W^*$-algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, 10, 94–98 ; Russian Math. (Iz. VUZ), 55:10 (2011), 82–85
28.	A. M. Bikchentaev, “Commutation of Projections and Trace Characterization on von Neumann Algebras. II”, Mat. Zametki, 89:4 (2011), 483–494 ; Math. Notes, 89:4 (2011), 461–471
	2010
29.	A. M. Bikchentaev, “On a Lemma of Berezin”, Mat. Zametki, 87:5 (2010), 787–791 ; Math. Notes, 87:5 (2010), 768–773
30.	A. M. Bikchentaev, “Commutativity of projections and characterization of traces on von Neumann algebras”, Sibirsk. Mat. Zh., 51:6 (2010), 1228–1236 ; Siberian Math. J., 51:6 (2010), 971–977
	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 ; 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 ; Sb. Math., 199:4 (2008), 477–493
	2007
33.	A. M. Bikchentaev, “Local Convergence in Measure on Semifinite von Neumann Algebras, II”, Mat. Zametki, 82:5 (2007), 783–786 ; Math. Notes, 82:5 (2007), 703–707
	2006
34.	A. M. Bikchentaev, “Projection-Convex Combinations in $C^*$-Algebras and the Invariant Subspace Problem, I”, Mat. Zametki, 79:2 (2006), 311–315 ; Math. Notes, 79:2 (2006), 285–290
35.	A. M. Bikchentaev, “Local Convergence in Measure on Semifinite von Neumann Algebras”, Tr. Mat. Inst. Steklova, 255 (2006), 41–54 ; Proc. Steklov Inst. Math., 255 (2006), 35–48
	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 ; Siberian Math. J., 46:1 (2005), 24–34
	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
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 ; Math. Notes, 76:4 (2004), 578–581
39.	A. M. Bikchentaev, “Minimality of Convergence in Measure Topologies on Finite von Neumann Algebras”, Mat. Zametki, 75:3 (2004), 342–349 ; Math. Notes, 75:3 (2004), 315–321
	1998
40.	A. M. Bikchentaev, “On a property of $L_p$ spaces on semifinite von Neumann algebras”, Mat. Zametki, 64:2 (1998), 185–190 ; Math. Notes, 64:2 (1998), 159–163
	1992
41.	A. M. Bikchentaev, “The triangle inequality for some spaces of measurable operators”, Konstr. Teor. Funkts. Funkts. Anal., 8 (1992), 23–32
	1987
42.	A. M. Bikchentaev, “A connection between random and fuzzy metrics. II”, Konstr. Teor. Funkts. Funkts. Anal., 6 (1987), 58–61
	1985
43.	A. M. Bikchentaev, “A connection between random and fuzzy metrics”, Konstr. Teor. Funkts. Funkts. Anal., 5 (1985), 3–15

	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 ; Russian Math. Surveys, 73:1 (2018), 181–185
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

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

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