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ПросмотрНаучные публикации в Scopus по теме "idempotent"

ПросмотрНаучные публикации в Scopus по теме "idempotent"

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  • Concerning the theory of τ-measurable operators affiliated to a semifinite von Neumann algebra 
    Bikchentaev A. (2015)
    © 2015, Pleiades Publishing, Ltd. Let M be a von Neumann algebra of operators in a Hilbert space H, let τ be an exact normal semifinite trace on M, and let L1(M, τ) be the Banach space of τ-integrable operators. The following ...
  • Differences and Commutators of Idempotents in C* -Algebras 
    Bikchentaev A.M.; Fawwaz K. (2021)
    We establish similarity between some tripotents and idempotents on a Hilbert space $\mathcal{H}$ andobtain new results on differences and commutators of idempotents P and Q.In the unital case, the difference $P-Q$ is ...
  • 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 
    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 ∈ ...
  • Idempotents and Krein space 
    Matvejchuk M. (2011)
    Let B(H)Id be the set of all bounded idempotents on a Hilbert space H. Fix p ∈ B(H)Id. The aim of the paper is to show a set of symmetries J on H for which p is a J-projection. © 2011 Pleiades Publishing, Ltd.
  • Idempotents as J-projections: II 
    Matvejchuk M. (2012)
    Let B(H) Id be the set of all bounded idempotents on a complex Hilbert space H and let J be a conjugation operator on H. Fix p ∈ B(H) Id. At the paper we describe of J-projections. We prove that for a given p there exists ...
  • On idempotent τ-measurable operators affiliated to a von Neumann algebra 
    Bikchentaev A. (2016)
    © 2016, Pleiades Publishing, Ltd.Let τ be a faithful normal semifinite trace on a von Neumann algebra M, let p, 0 < p < ∞, be a number, and let Lp(M, τ) be the space of operators whose pth power is integrable (with respect ...
  • 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 ...
  • Rings over Which Matrices Are Sums of Idempotent and q-Potent Matrices 
    Abyzov A.N.; Tapkin D.T. (2021)
    We study the rings over which each square matrix is the sum of an idempotent matrix and a q-potent matrix. We also show that if F is a finite field not isomorphic to F3 and q > 1 is odd then each square matrix over F is ...
  • 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− ...
  • Tripotents in algebras: Invertibility and hyponormality 
    Bikchentaev A. (2014)
    © 2014, Pleiades Publishing, Ltd. Let A be a unital algebra over complex field ℂ, I be the unit of A. An element A ∈ A is called tripotent if A3 = A. Let Atri = {A ∈ A: A3 = A}. We show that A ∈ Atri if and only if I ± A ...

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