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Просмотр по теме "commutativity"

Просмотр по теме "commutativity"

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  • Characterization of certain traces on von Neumann algebras 
    Bikchentaev Airat Midkhatovich (2022)
    Consider a unital $C^*$-algebra $\mathcal{A}$. Let $n\geq 2$ and let $P_1, \ldots , P_n$ be projections in $\mathcal{A}$ such that $P_1 + \ldots +P_n=I$. We costruct $\mathcal{P}_n\colon \mathcal{A}\to \mathcal{A}$ ...
  • Commutativity of operators and characterization of traces on C*-algebras 
    Бикчентаев Айрат Мидхатович (2013)
    We investigate connections between commutativity of operators and characterization of traces on C*-algebras
  • 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 ...
  • Inequality for a trace on a unital C*-algebra 
    Bikchentaev Airat Midkhatovich (2016)
    A new inequality for a trace on a unital C*-algebra is established. It is shown that the inequality obtained characterizes the traces in the class of all positive functionals on a unital C*-algebra/ A new criterion for ...
  • Invariant Subspaces of Operators on a Hilbert Space 
    Bikchentaev A.M. (2020)
    © 2020, PleiadesT Publishing,T Ltd. Abstract—In year 2006 the author proposed an approach to the invariant subspace problem for an operator on a Hilbert space, based on projection-convex combinations in C*-algebras with ...
  • Metrics on projections of the von Neumann algebra associated with tracial functionals 
    Bikchentaev Airat Midkhatovich (2019)
    We investigate two metricson projections of the von Neumann algebra associated with tracial functionals
  • Projections and Traces on von Neumann Algebras 
    Bikchentaev A.; Abed S. (2019)
    © 2019, Pleiades Publishing, Ltd. Let P, Q be projections on a Hilbert space. We prove the equivalence of the following conditions: (i) PQ + QP ≤ 2(QPQ)p for some number 0 < p ≤ 1; (ii) PQ is paranormal; (iii) PQ is ...

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