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ПросмотрНаучные публикации в Scopus по теме "von Neumann algebra"

ПросмотрНаучные публикации в Scopus по теме "von Neumann algebra"

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  • Seminorms Associated with Subadditive Weights on C*-Algebras 
    Bikchentaev A.M. (2020)
    © 2020, Pleiades Publishing, Ltd. Let ϕ be a subadditive weight on a C* -algebra A, and let Mϕ+ be the set of all elements x in A+ with ϕ(x) < +00. A seminorm ‖ • ‖ is introduced on the lineal Mϕsa = linRMϕ+, and a sufficient ...
  • Studies on Noncommutative Measure Theory in Kazan University (1968–2018) 
    Bikchentaev A.; Sherstnev A. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. We describe the main results of the participants of the scientific seminar “Operator algebras and their applications” at the Kazan University for the ...
  • To the theory of operator monotone and operator convex functions 
    Hoa D.; Tikhonov O. (2010)
    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 ...
  • Trace and Commutators of Measurable Operators Affiliated to a Von Neumann Algebra 
    Bikchentaev A.M. (2021)
    In this paper, we present new properties of the space L1(M, τ) of integrable (with respect to the trace τ) operators affiliated to a semifinite von Neumann algebra M. For self-adjoint τ-measurable operators A and B, we ...
  • Trace and Differences of Idempotents in C*-Algebras 
    Bikchentaev A. (2019)
    © 2019, Pleiades Publishing, Ltd. Let φ be atrace on aunital C*-algebra A, let Mφ be the ideal of definition of the trace φ, and let P, Q∈ A be idempotents such that QP = P. If Q∈ Mφ then P∈ Mφ and 0 ≤ φ(P) ≤ φ(Q). If Q− ...
  • Trace inequalities for Rickart C<sup>∗</sup> -algebras 
    Bikchentaev A. (2021)
    Rickart C∗-algebras are unital and satisfy polar decomposition. We proved that if a unital C∗-algebra A satisfies polar decomposition and admits “good” faithful tracial states then A is a Rickart C∗-algebra. Via polar ...
  • Two classes of τ-measurable operators affiliated with a von Neumann algebra 
    Bikchentaev A. (2017)
    © 2017, Allerton Press, Inc.Let M be a von Neumann algebra of operators on a Hilbert space H, τ be a faithful normal semifinite trace on M. We define two (closed in the topology of convergence in measure τ) classes P1 and ...
  • Weighted monotonicity inequalities for traces on operator algebras 
    Hoa D.; Tikhonov O. (2010)
    We study inequalities of the form, where τ is a trace on a von Neumann algebra or a C*-algebra, A and B are self-adjoint elements of the algebra in question, f and w are real-valued functions, and the "weight" function w ...
  • When weak and local measure convergence implies norm convergence 
    Bikchentaev A.; Sukochev F. (2019)
    © 2019 Elsevier Inc. Let M be a von Neumann algebra of operators on a Hilbert space H and τ be a faithful normal semifinite trace on M. Let tτ be the measure topology on the ⁎-algebra S(M,τ) of all τ-measurable operators. ...

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