2024
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A.M. Bikchentaev, The trace and integrable commutators of the measurable operators affiliated to a semifinite von Neumann algebra //
Siberian Mathematical Journal, 2024, Vol. 65, No. 3, pp. 522--533.
simj0522.pdf - G.G. Amosov, A.M. Bikchentaev, V. Zh. Sakbaev, On the extreme points of sets in spaces of operators and spaces of states
- A.M. Bikchentaev, O.E. Tikhonov, Continuity of operator functions in the topology of local convergence in measure
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A.M. Bikchentaev, M. F. Darwish, M.A. Muratov, Ideal spaces of measurable operators affiliated to a semifinite von Neumann algebra. II // Annals of Functional Analysis, 2024. V. 15, no. 3, article number 61, 13 p.
s43034_024_00361_w.pdf
2023
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Bikchentaev A.M. The topologies of local convergence
in measure on the algebra of measurable operators / A.M. Bikchentaev // Siberian Math. J. - 2023. - V. 64. - No 1. - P. 13--21.
F_Print.pdf -
Airat M. Bikchentaev, The algebra of thin measurable operators is directly finite // Constructive Mathematical Analysis. 2023.
V. 6, no 1. P. 1--5.
10.33205_cma.1181495_2676924.pdf -
Bikchentaev A.M.Concerning the Theory of τ -measurable Operators Affiliated to a Semifinite von Neumann Algebra, II / A.M. Bikchentaev // Lobachevskii J. Math. - 2023. - V. 44, No 10. - P. 4498-4502.
F_LobJMat2310007BikchentaevKOR__1_.pdf -
M. Akhmadiev. Commutators and hyponormal operators on a Hilbert space / M. Akhmadiev, H. Alhasan, A. Bikchentaev, P. Ivanshin //
J. Iran. Math. Soc. 2023. Vol. 4. № 1. P 67--78.
F_JIMS_Volume_4_Issue_1_Pages_67_78.pdf -
Bikchentaev A. Commutators in $C*$-algebras and traces / Airat Bikchentaev // Annals of Functional Analysis - 2023. Vol. 14. Article number 42. P. 1-14.
F_s43034_023_00260_6.pdf
2022
2021
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A.M. Bikchentaev, Trace and commutators of measurable operators affiliated to a von Neumann algebra // Journal of Mathematical Sciences, Vol. 252, No. 1, January, 2021, p. 8--19.
Bikchentaev_2020_Journal_of_Mathematical_Sciences.pdf -
A. Bikchentaev, F. Sukochev, Inequalities for the block projection operators //
J. Functional Analysis, 2021, V. 280, no. 7, article 108851. 18 pp.
F_1_s2.0_S0022123620303943_main.pdf -
Bikchentaev A, Rad S.R, Turilova E., Foreword//International Journal of Theoretical Physics. - 2021. - Vol., Is.. - .
https://doi.org/10.1007/s10773-021-04729-9
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Airat M. Bikchentaev, Anatolij N. Sherstnev,
Studies on Noncommutative Measure Theory
in Kazan University (1968–2018) //
International Journal of Theoretical Physics. 2021. V.60, no 2, P. 585--596.
F_Bikchentaev_Sherstnev2021_Article_StudiesOnNoncommutativeMeasure.pdf -
Bikchentaev A.M., Fawwaz Kh. Differences and commutators of idempotents in C*-algebras / A.M. Bikchentaev, Kh. Fawwaz // Russian Mathematics. - 2021. - Vol. 65. - No. 8. - P. 13--22.
F_Bikchentaev_Fawwaz2021_Article_DifferencesAndCommutatorsOfIde.pdf -
Airat M. Bikchentaev, Pyotr N. Ivanshin,
On Operators all of Which Powers have the same Trace //
International Journal of Theoretical Physics. 2021. V.60, no 2, P. 534--545.
F_Bikchentaev_Ivanshin2021_Article_OnOperatorsAllOfWhichPowers_av.pdf -
A. M. Bikchentaev, P. N. Ivanshin,
On Independence of Events
in Noncommutative Probability Theory //
Lobachevskii Journal of Mathematics, 2021, Vol. 42, No. 10, pp. 2306–2314.
LobJMat2110006BikchentaevKOR.pdf -
A. M. Bikchentaev, Trace inequalities for Rickart $C^*$-algebras // Positivity 25 (2021), no. 5, 1943--1957.
Bikchentaev_2021_Positivity.pdf -
Airat M. Bikchentaev,
On $\tau$-essentially Invertibility of $\tau$-measurable
Operators //
International Journal of Theoretical Physics. 2021. V.60, no 2, P. 567--575.
Bikchentaev2021_Article_On__932__essentiallyInvertibilityOf.pdf
2020
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Bikchentaev Airat. Paranormal measurable operators affiliated
with a semifinite von Neumann algebra. II // Positivity. - 2020. - V. 24. - No 5. - P. 1487--1501.
F_Bikchentaev2020_Article_ParanormalMeasurableOperatorsA.pdf -
Bikchentaev A.M. Inequalities for determinants and characterization
of the trace // Siberian Math. J., 2020, v. 61, no. 2, 248--254.
simj0248.pdf -
A. M. Bikchentaev, Invariant Subspaces of Operators on a Hilbert Space
// Lobachevskii Journal of Mathematics, 2020, Vol. 41, No. 4, pp. 610--613
LobJMat2004005BikchentaevKOR.pdf -
A. Bikchentaev, F. Sukochev, Inequalities for the block projection operators //
J. Functional Analysis (2020), 18 pp. https://doi.org/10.1016/j.jfa.2020.108851
1_s2.0_S0022123620303943_main.pdf -
A.M. Bikchentaev, Convergence in measure and $\tau$-compactness of $\tau$ -measurable
operators, affi liated with a semi nite von Neumann algebra //
Russian Mathematics, 2020, Vol. 64, No. 5, pp. 79-82.
IVRM79.pdf -
A. Bikchentaev, E. McDonald, F. Sukochev,
Ando's inequality for uniform submajorization //
Linear Algebra and its Applications 605 (2020) 206-226
1_s2.0_S0024379520303384_main.pdf -
A. M. Bikchentaev, Seminorms Associated with Subadditive Weights
on С*-Algebras // Mathematical Notes, 2020, Vol. 107, No. 3, pp. 383--391.
MTN383.pdf
2019
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A. Bikchentaev, F. Sukochev,
When weak and local measure convergence implies norm convergence // J. Math. Anal. Appl. (2019), V. 473, no 2, 1414-1431. https://doi.org/10.1016/j.jmaa.2019.01.028
F_1_s2.0_S0022247X1930054X_main.pdf -
Airat M. Bikchentaev, Pyotr N. Ivanshin,
On operators all of which powers have the same trace,
// Internat. J. Theor. Physics, https://doi.org/10.1007/s10773-019-04059-x
- A.M. Bikchentaev, Ideal $F$-norms on $C^*$-algebras. II // Russian Mathematics, 2019, Vol. 63, No. 3. P. 78-82.
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Airat M. Bikchentaev, On $\tau$-essentially invertibility of $\tau$-measurable operators // Internat. J. Theor. Phys. 2019. V. 58. No 12. https://doi.org/10.1007/s10773-019-04111-w
Bikchentaev2019_Article_On__932__essentiallyInvertibilityOf.pdf -
Airat M. Bikchentaev, Anatolij N. Sherstnev, Studies on Noncommutative Measure Theory in Kazan University (1968-2018) // Internat. J. Theor. Phys. 2018. v. 58. No 12. doi.org/10.1007/s10773-019-04156-x
10.1007_s10773_019_04156_x.pdf - A. M. Bikchentaev, Renormalizations of measurable operator ideal spaces affiliated to semi-finite von Neumann algebra, Ufa Math. J., 11:3 (2019), 3–10
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Bikchentaev A.M. On the $\tau$-compactness of products of $\tau$-measurable operators adjoint to semi-finite von Neumann algebras / A.M. Bikchentaev // Journal of Mathematical Sciences. - 2019. - 241 (4). - P. 458-468.
Bikchentaev_2019_Journal_of_Mathematical_Sciences.pdf -
A. M. Bikchentaev, OV. Zh. Sakbaev, On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures //Lobachevskii Journal of Mathematics, 2019, Vol. 40, No. 8, pp. 1039–1044
F_LOJM1039.pdf -
Bikchentaev A.M. Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras / A.M. Bikchentaev // Lobachevskii Journal of Mathematics. - 2019. - Vol. 40, No. 10. - P. 1450–1454.
LOJM1450.pdf -
Bikchentaev A.M., Abed S.A. Projections and Traces on von Neumann Algebras / A.M. Bikchentaev, S.A. Abed // Lobachevskii Journal of Mathematics. - 2019. - Vol. 40, No. 9. - P. 1260–1267.
LOJM1260.pdf -
A.M. Bikchentaev, Metrics on projections of the von Neumann algebra associated with tracial functionals // Siberian Mathematical J., 2019, V. 60, No. 6, pp. 952-956
F_simj0952.pdf -
A. M. Bikchentaev,Trace and Differences of Idempotents in C*-Algebras // Mathematical Notes, 2019, Vol. 105, No. 5, pp. 641–648.
F_MTN641.pdf
2018
2017
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Bikchentaev, A. M. Two classes of tau-measurable operators affiliated with a von Neumann algebra / А. М. Bikchentaev // Russian Mathematics. - 2017. - Vol. 61. - № 1. - Р. 76-80.
09bikch1.pdf -
Bikchentaev A.M., On ?-Compactness of Products of ?-Measurable Operators//International Journal of Theoretical Physics. - 2017. - Vol., Is.. - P.1-12.
ijtp1.pdf -
Bikchentaev A.M. On $\tau$-Compactness of Products of $\tau$-Measurable Operators //
International Journal of Theoretical Physics, 2017, 56(12), 3819-3830. DOI 10.1007/s10773-017-3318-6
F_ijtp1.pdf -
Bikchentaev A. M. Differences of idempotents in C*-algebras //
Siberian Mathematical Journal. 2017. Vol. 58, no 2. P. 183--189.
smje1.pdf -
Bikchentaev A.M., Differences of idempotents in C*-algebras//Siberian Mathematical Journal. - 2017. - Vol.58, Is.2. - P.183-189.
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Bikchentaev A.M., Two classes of ?-measurable operators affiliated with a von Neumann algebra//Russian Mathematics. - 2017. - Vol.61, Is.1. - P.76-80.
2016
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Bikchentaev, A. М. States on symmetric logics: extensions / А. М. Bikchentaev, М. Navara // Mathematica Slovaca. - 2016. - Vol. 66. - № 2. - P. 359-366.
ms_2015_0141.pdf
ms_2015_0141firstpage.pdf -
Bikchentaev, A. М. Integrable products of measurable operators / А. М. Bikchentaev // Lobachevskii Journal of Mathematics. - 2016. - Vol. 37. - № 4. - P. 397-403.
LOJM3971st.pdf -
Bikchentaev A.M. Convergence of integrable operators affiliated to a finite von Neumann algebra / А.М. Bikchentaev // Proceedings of the Steklov Institute of Mathematics. - 2016. - Vol.293. - № 1. - P.67-76.
art%3A10.1134%2FS0081543816040052fp.pdf
52fp.pdf
art%3A10.1134%2FS0081543816040052fp.pdf -
Bikchentaev, A. M. On idempotent tau-measurable operators affiliated to a von Neumann algebra / А. М. Bikchentaev // Mathematical Notes. - 2016. - Vol. 100. - № 4. - Р. 515-525.
MN1.pdf -
Bikchentaev A.M., On operator monotone and operator convex functions // Russian Mathematics (Iz VUZ). - 2016. - Vol. 60, No.5. - P. 61-65.
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Bikchentaev A.M. Trace and integrable operators affiliated with a semifinite von Neumann algebra / А.М. Bikchentaev // Doklady Mathematics. - 2016. - Vol.93. - № 1. - P.16-19.
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Bikchentaev A. States on symmetric logics: Extensions / А. Bikchentaev, М. Navara // Mathematica Slovaca. - 2016. - Vol.66. - № 2. - P.359-366.
ms_2015_0141.pdf -
Bikchentaev A.M. Inequality for a trace on a unital C*-algebra / А.М. Bikchentaev // Mathematical Notes. - 2016. - Vol.99. - № 4. - P.487-491.
art%3A10.1134%2FS0001434616030214fp.pdf
214fp.pdf
art%3A10.1134%2FS0001434616030214fp.pdf
2015
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Bikchentaev А. Quantum logics of idempotents of unital rings / Airat Bikchentaev, Mirko Navara, Rinat Yakushev // Intern. J. Theor. Phys. - 2015. - V. 54. - № 6. - P. 1987-2000.
qli.pdf -
Bikchentaev A.M. Commutation of projections and characterization of traces on von Neumann algebras. III / А.М. Bikchentaev // Inter. J. Theor. Physics. - 2015. - V. 54. - № 12. - P. 4482-4493.
10.1007_s10773_015_2639_6_1firstpage.pdf -
Bikchentaev, A. M. Ideal F-Norms on C*-Algebras /A. M. Bikchentaev // RUSSIAN MATHEMATICS. - 2015. - V. 59, no 5. - P. 58-63.
F_art%3A10.3103%2FS1066369X15050084.pdf
art50084.pdf -
Bikchentaev A.M. Concerning the theory of ?-measurable operators affiliated to a semifinite von Neumann algebra / А.М. Bikchentaev //Mathematical Notes. - 2015. - Vol.98. - № 3-4. - P.382-391.
35fp.pdf -
Bikchentaev A, Navara M, Yakushev R., Quantum Logics of Idempotents of Unital Rings//International Journal of Theoretical Physics. - 2014. - Vol.54, Is.6. - P.1987-2000.
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Bikchentaev, A. M. Concerning the theory of $\tau$-measurable operators affiliated to a semifinite von Neumann algebra. (Russian) Mat. Zametki 98 (2015), no. 3, 337--348; translation in Math. Notes 98 (2015), no. 3-4, 382--391
art%3A10.1134%2FS0001434615090035fp.pdf
2014
- Bikchentaev A.M., Yakushev R.S. States on symmetric logics: conditional probability and independence. II // International Journal of Theoretical Physics. 53 (2014), no. 2, 397-408.
- Bikchentaev A.M. Tripotents in algebras: invertibility and hyponormality // Lobachevskii J. Math. 35 (2014), no. 3, 281-285.
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Bikchentaev, A. M. On additivity of mappings on measurable functions. Sib. Math. J. 55 (2014), no. 1, 7--11
art%3A10.1134%2FS0037446614010029fp.pdf -
Bikchentaev, A. M. On normal $\tau$-measurable operators affiliated with semifinite von Neumann algebras. Translation of Mat. Zametki 96 (2014), no. 3, 350–360. Math. Notes 96 (2014), no. 3-4, 332--341.
art%3A10.1134%2FS0001434614090053fp.pdf -
Bikchentaev, A. M. On additivity of mappings on measurable functions / А.М. Bikchentaev // SIBERIAN MATHEMATICAL JOURNAL. - 2014. - Vol. 55. - № 1. - Р.7-11.
29fp.pdf
art%3A10.1134%2FS0037446614010029fp.pdf -
Bikchentaev, A. M. On normal $\tau$-measurable operators affiliated with semifinite von Neumann algebras. Translation of Mat. Zametki 96 (2014), no. 3, 350–360. Math. Notes 96 (2014), no. 3-4, 332--341.
53fp.pdf
art%3A10.1134%2FS0001434614090053fp.pdf
2013
- Bikchentaev A.M., On hermitian operators X and Y meeting the condition -Y ≤ X ≤ Y // Lobachevskii Journal of Mathematics, 2013, V. 34, no. 3, p. 227-233.
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Bikchentaev, A. M. Commutativity of operators and characterization of traces on C*-algebras / A. M. Bikchentaev // DOKLADY MATHEMATICS. - 2013. - V. 87, no 1. - P. 79-82.
F_DKM79.pdf -
Bikchentaev A.M., The Haagerup problem on subadditive weights on W*-algebras. II//Russian Mathematics. - 2013. - Vol.57, Is.12. - P. 66-69.
art%3A10.3103%2FS1066369X13120074.pdf
2012
2011
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A.M. Bikchentaev, R.S. Yakushev. Representation of tripotents and representations via tripotents / Linear Algebra and its Applications. - 2011. - V. 435, № 9. - P. 2156-2165
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Bikchentaev A.M. The Peierls-Bogoliubov inequality in von Neumann algebras and characterization of tracial functionals /
A.M. Bikchentaev // Lobachevskii J. Math. -- 2011. -- V. 32, № 3. -- P. 175--179.
lojm-1.pdf
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