Zobrazeno 1 - 10
of 23
pro vyhledávání: '"O. E. Tikhonov"'
Publikováno v:
Ann. Funct. Anal. 10, no. 3 (2019), 425-432
We extend inequalities for operator monotone and operator convex functions onto elements of the extended positive part of a von Neumann algebra. In particular, this provides an opportunity to extend the inequalities onto unbounded positive self-adjoi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9b82e926dcf659508e1a407c626752a
https://doi.org/10.1215/20088752-2018-0040
https://doi.org/10.1215/20088752-2018-0040
Autor:
L. V. Veselova, O. E. Tikhonov
Publikováno v:
Indagationes Mathematicae. 26:142-146
Let τ be a tracial normal state on a von Neumann algebra, L 1 ( τ ) be the space of integrable self-adjoint operators, and S be the space of self-adjoint measurable operators. We prove that every positive linear operator from an ordered Banach spac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab27fb3e0bb233855e4663b1b1e6924c
https://doi.org/10.1016/j.indag.2014.09.001
https://doi.org/10.1016/j.indag.2014.09.001
Autor:
O. E. Tikhonov, An. An. Novikov
Publikováno v:
Lobachevskii Journal of Mathematics. 37:497-499
We study measures on orthoideals in the set of projections in von Neumann algebra, which appear within a framework of L1-spaces associated with positive operators in the algebra. We show that there exists a positive measure on orthoideal, which canno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23632151b04b88f994e58c9d31a5a825
https://doi.org/10.1134/s1995080216040144
https://doi.org/10.1134/s1995080216040144
Autor:
Anatolij N. Sherstnev, O. E. Tikhonov
Publikováno v:
Mathematica Slovaca. 62:1167-1172
We give a necessary and sufficient condition for a sesquilinear form to be integrable with respect to a faithful normal state on a von Neumann algebra.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6df85d25df7175459f14a86dbf953508
https://doi.org/10.2478/s12175-012-0071-4
https://doi.org/10.2478/s12175-012-0071-4
Autor:
O. E. Tikhonov, Dinh Trung Hoa
Publikováno v:
Mathematical Notes. 88:177-182
We study inequalities of the form $$ \tau (w(A)^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} f(A)w(A)^{{1 \mathord{\left/ {\vphantom {1 2}} \right. \kern-\nulldelimiterspace} 2}} ) \leqslant \tau (w(A)^{{1 \mathord{\le
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e04604020fb5cf6fae50c481fad30f08
https://doi.org/10.1134/s0001434610070175
https://doi.org/10.1134/s0001434610070175
Autor:
O. E. Tikhonov, Dinh Trung Hoa
Publikováno v:
Russian Mathematics. 54:7-11
We prove that a real function is operator monotone (operator convex) if the corresponding monotonicity (convexity) inequalities are valid for some normal state on the algebra of all bounded operators in an infinite-dimensional Hilbert space. We descr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc1f22d61d57dfe5a56fb06f013530d5
https://doi.org/10.3103/s1066369x10030023
https://doi.org/10.3103/s1066369x10030023
Autor:
O. E. Tikhonov, Trung Hoa Dinh
Publikováno v:
Matematicheskie Zametki. 88:193-200
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::262174b146a45bbda33e86447a5343cb
https://doi.org/10.4213/mzm8802
https://doi.org/10.4213/mzm8802
Publikováno v:
Mathematical Notes. 81:37-50
We study problems of interpolation of positive linear operators in couples of ordered Banach spaces. From this viewpoint, we study couples of noncommutative spaces L1, L∞ associated with weights and traces on von Neumann algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9dfe5f0559fb986415f3365471ce19ce
https://doi.org/10.1134/s000143460701004x
https://doi.org/10.1134/s000143460701004x
Publikováno v:
Matematicheskie Zametki. 81:43-58
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cce2f769f3b1cd0ed6576dfca5b6746
https://doi.org/10.4213/mzm3516
https://doi.org/10.4213/mzm3516
Autor:
O. E. Tikhonov, Andrej Novikov
We propose a list of inequalities which characterize central elements in von Neumann algebras and C*-algebras.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::347c73c385225d2f4b0ee41876ddfa55
http://arxiv.org/abs/1502.01267
http://arxiv.org/abs/1502.01267
