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Просмотр по теме "unitary operator"

Просмотр по теме "unitary operator"

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  • Differences of idempotents in C*-algebras 
    Bikchentaev A. (2017)
    © 2017, Pleiades Publishing, Ltd.Suppose that P and Q are idempotents on a Hilbert space H, while Q = Q* and I is the identity operator in H. If U = P − Q is an isometry then U = U* is unitary and Q = I − P. We establish ...
  • Differences of idempotents in C*-algebras and the quantum Hall effect 
    Bikchentaev Airat Midkhatovich (2018)
    We investigate differences of idempotents in C*-algebras and the quantum Hall effect
  • Differences of Idempotents In C*-Algebras and the Quantum Hall Effect 
    Неизвестный автор (2018)
    © 2018, Pleiades Publishing, Ltd. Let ϕ be a trace on the unital C*-algebra A and Mϕbe the ideal of the definition of the trace ϕ. We obtain a C*analogue of the quantum Hall effect: if P,Q ∈ A are idempotents and P − Q ∈ ...
  • Ideal F-norms on C*-algebras 
    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 ...
  • Ideal F-Norms on C*-Algebras. II 
    Bikchentaev A. (2019)
    © 2019, Allerton Press, Inc. We study ideal F-norms ‖·‖p, 0 <p < +∞ associated with a trace ϕ on a C*-algebra A. If A, B of A are such that |A|≤ |B|,then ‖A‖p ≤ ‖B‖p. We have ‖A‖p = ‖A*‖p for all A from A (0 <p < +∞)and a ...
  • On hermitian operators X and Y meeting the condition -Y ≤ X ≤ Y 
    Bikchentaev A. (2013)
    We obtain a description of all pairs of Hermitian operators X and Y, which satisfy the condition -Y ≤ X ≤ Y. We give the examples of such operator pairs. Each of the presented examples leads us to the new weak majorization ...
  • On invertibility of some operator sums 
    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 ...
  • Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras 
    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 ...
  • Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras 
    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 ...

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