Browsing by Subject "Normed algebra"

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  • 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) ...

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