Browsing by Subject "C -algebra ∗"

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  • On a Topology and Limits for Inductive Systems of C <sup>∗</sup> -Algebras over Partially Ordered Sets 
    Gumerov R.; Lipacheva E.; Grigoryan T. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Motivated by algebraic quantum field theory and our previous work we study properties of inductive systems of C ∗ -algebras over arbitrary partially ...
  • On Operators all of Which Powers have the same Trace 
    Bikchentaev A.; Ivanshin P. (2019)
    © 2019, Springer Science+Business Media, LLC, part of Springer Nature. We introduce the class K A,ϕ = { A∈ A: ϕ(A k ) = ϕ(A) for all k∈ ℕ} for a linear functional ϕ on an algebra A and consider the properties of this ...
  • Paranormal elements in normed algebra 
    Unknown author (2018)
    © Allerton Press, Inc., 2018. For a normed algebra A and natural numbers k we introduce and investigate the ∥·∥- closed classes Pk(A). We show that P1(A) is a subset of Pk(A) for all k. If T in P1(A), then Tn lies in P1(A) ...
  • Trace inequalities for Rickart C<sup>∗</sup> -algebras 
    Bikchentaev A. (2021)
    Rickart C∗-algebras are unital and satisfy polar decomposition. We proved that if a unital C∗-algebra A satisfies polar decomposition and admits “good” faithful tracial states then A is a Rickart C∗-algebra. Via polar ...

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