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Просмотр по теме "C*-algebra"

Просмотр по теме "C*-algebra"

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  • On a Grading of the Cuntz Algebra 
    Grigoryan S.; Kuznetsova A. (2019)
    © 2019, Pleiades Publishing, Ltd. In the paper we introduce the notion of a local group and define a Fell bundle over a local group and a *-representation of a local group into a C*-algebra. We show that with every partial ...
  • On operator monotone and operator convex functions 
    Bikchentaev A. (2016)
    © 2016, Allerton Press, Inc.We establish monotonicity and convexity criteria for a continuous function f: R+ → R with respect to any C*-algebra. We obtain an estimate for the measure of noncompactness of the difference of ...
  • On the ideals of a C*-algebra generated by a family of partial isometries and multipliers 
    Kuznetsova A.; Patrin E. (2015)
    © 2015, Pleiades Publishing, Ltd. The C*-subalgebra of the algebra of all bounded operators on the Hilbert space l2 generated by the multiplier algebra and a family of partial isometries satisfying certain relations is ...
  • Operator algebras associated with multi-valued mappings 
    Arzumanian V.; Grigoryan S.; Kuznetsova A. (2014)
    In the paper a new approach is proposed to construction of operator algebras generated by multi-valued mappings on a countable set. We present initial results, discuss the connection with known structures, outline further ...
  • 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 ...
  • 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 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− ...
  • 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 ...
  • ПАРАНОРМАЛЬНЫЕ ЭЛЕМЕНТЫ В НОРМИРОВАННОЙ АЛГЕБРЕ 
    Бикчентаев Айрат Мидхатович; Абед С.А. (2017)
    Для нормированной алгебры A и k ∈ N введены и исследованы ∥? ∥-замкнутые классы Pk(A ) = {T ∈ A : ∥T k+1A∥ ≥ ∥T A∥ k+1 для всех A ∈ A с ∥A∥ = 1}. Показано, что P1(A ) ⊂ Pk(A ) для всех k ∈ N. Если T ∈ P1(A ), то T n ∈ P1(A ...

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