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Просмотр по автору "Grigoryan S."

Просмотр по автору "Grigoryan S."

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  • AF-subalgebras of a C*-algebra generated by a mapping 
    Grigoryan S.; Kuznetsova A. (2010)
    In this paper we consider a C*-subalgebra of the algebra of all bounded operators B(l2(X)) on the Hilbert space l2(X)) with one generating element T φ induced by a mapping φ of a set X into itself. We prove that such a ...
  • C*-Algebras generated by mappings 
    Grigoryan S.; Kuznetsova A. (2010)
    In the paper, some properties of a singly generated C*-subalgebra of the algebra of all bounded operators B(l2(X)) on the Hilbert space l2(X) with the generator Tφ induced by a mapping φ of an infinite set X into itself ...
  • C*-algebras generated by mappings 
    Grigoryan S.; Kuznetsova A. (2008)
    Let X be an infinite set and let φ be a given mapping of it into itself. We consider the C*-algebra C φ (X) with a single generating element T φ on Hilbert space l 2(X). We show that C φ (X) is isomorphic to C *-algebra ...
  • C*-Algebras Generated by Mappings. Classification of Invariant Subspaces 
    Grigoryan S.; Kuznetsova A. (2018)
    © 2018, Allerton Press, Inc. We continue the study of an operator algebra associated with a self-mapping ϕ on a countable setX which can be represented as a directed graph. This C*-algebra belongs to a class of operator ...
  • Disjunctivity and alternativity in projection logics 
    Grigoryan S.; Mushtari D.; Ovchinnikov P. (2000)
    We study the notions of disjunctivity and alternativity of orthomodular posets in the context of orthoprojections or skew projections in C*-algebras.
  • Linear multiplicative functionals of algebras of S-analytic functions on groups 
    Grigoryan S.; Tonev T. (2001)
    Let S be a subsemigroup of a semigroup Σ that generates a group G. We find conditions that assure extendability of linear multiplicative functionals of the algebra AS of S-analytic functions on G with spectra in S to linear ...
  • 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 an algebraic extension of A(E) 
    Batikyan B.; Grigoryan S. (2002)
    An algebraic extension of the algebra A(E), where E is a compactum in ℂ with nonempty connected interior, leads to a Banach algebra B of functions that are holomorphic on some analytic set K° ⊂ ℂ 2 with boundary bK and ...
  • 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 ...

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