نتایج جستجو برای: hypercyclic vector

تعداد نتایج: 197499  

Journal: :Journal of Mathematical Analysis and Applications 2022

In this paper, we generalize to the context of algebras some recent results on existence common hypercyclic vectors for families products backward shift operators. We also give, in a multi-dimensional setting, positive answer question raised by F. Bayart, D. Papathanasiou and author about algebra ℓ1(N) with convolution product family shifts (Bw(λ))λ>0 induced weights wn(λ)=1+λ/n.

Journal: :Journal of Mathematical Analysis and Applications 2008

Journal: :Integral Equations and Operator Theory 2013

Journal: :Journal of Mathematical Analysis and Applications 2015

Journal: :Concrete Operators 2022

Abstract We study the cyclic, supercyclic and hypercyclic properties of a composition operator C ϕ on Segal-Bargmann space ℋ(ℰ), where ( z ) = Az + b , A is bounded linear ℰ, ∈ ℰ with || ⩽ 1 * belongs to range I – )½. Specifically, under some conditions symbol we show that if cyclic then A* but converse need not be true. also cyclic. Further there no ℋ(ℰ) for certain class symbols .

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