Просмотр по теме "isometry"

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  • Bikchentaev A. (2015)
    © 2015, Allerton Press, Inc. We show that every measure of non-compactness on a W*-algebra is an ideal F-pseudonorm. We establish a criterion of the right Fredholm property of an element with respect to a W*-algebra. We ...
  • Bikchentaev A. (2012)
    We study invertibility of some sums of linear bounded operators on Hilbert space (Theorem 1). A criterion on invertibility of sums of projections is found. Some equivalent conditions on invertibility of difference of two ...
  • Bikchentaev Airat Midkhatovich (2019)
    Let τ be a faithful normal semifinite trace on a von Neumann algebraM, and M^u be a unitary part of M. We prove a new property of rearrangements of some tripotents in M. If V ∈M is an isometry (or a coisometry) and U - V ...
  • Bikchentaev A. (2019)
    © 2019, Pleiades Publishing, Ltd. Let τ be a faithful normal semifinite trace on a von Neumann algebra ℳ, and ℳu be a unitary part of ℳ. We prove a new property of rearrangements of some tripotents in ℳ. If V ∈ ℳ is an ...
  • 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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