Results 11 to 20 of about 75 (71)
Topological transitivity of translation operators in a non-separable Hilbert space
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
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Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators
مجلة بغداد للعلوم, 2010 Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1.
Baghdad Science Journal
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Cyclic Composition operators on Segal-Bargmann space
Concrete Operators, 2022 We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G. +2 more
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Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
Karpatsʹkì Matematičnì Publìkacìï, 2016 In the paper, it is proposed a method of construction of hypercyclic composition operators on $H(\mathbb{C}^n)$ using polynomial automorphisms of $\mathbb{C}^n$ and symmetric analytic functions on $\ell_p.$ In particular, we show that an "symmetric ...
Z.G. Mozhyrovska
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On linear chaos in function spaces
Demonstratio Mathematica, 2022 We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
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Supercyclic and Hypercyclic Generalized Weighted Backward Shifts over a Non-Archimedean
Mathematics, 2021 In the present paper, we propose to study generalized weighted backward shifts BB over non-Archimedean c0(N) spaces; here, B=(bij) is an upper triangular matrix with supi,j|bij|
Farrukh Mukhamedov +2 more
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Countably Generated Algebras of Analytic Functions on Banach Spaces
Axioms, 2023 In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear as algebras of symmetric analytic functions on Banach spaces with respect
Zoriana Novosad +2 more
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Information Characteristics, Processes, and Mechanisms of Self‐Organization Evolution
Complexity, Volume 2019, Issue 1, 2019., 2019 Self‐organization is a general mechanism for the creation of new structural pattern of systems. A pattern, in essence, is a relationship, an architecture, a way of organizing, and a structure of order, which can only be explained by information activities.
Kun Wu, Qiong Nan, Quanmin Zhu
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Hypercyclic operators on spaces of block-symmetric analytic functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 The paper contains proof of the hypercyclicity of “symmetric translation” on the algebras of block-symmetric analytic functions of bounded type on an isomorphic copy of $l_1$.
V.V. Kravtsiv +2 more
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Fast orbital convergence reveals more hypercyclic vectors
Applied General TopologyLet X be an infinite dimensional separable Banach space, T : X → X be a hypercyclic operator, and x ∈ X be a (frequently) hypercyclic vector of T. We show that if the terms from the T-orbit of x converge to a vector y sufficiently fast, then y is also a ...
T. K. Subrahmonian Moothathu
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