Results 31 to 40 of about 453,986 (139)
The Hypercyclicity Criterion for sequences of operators [PDF]
Studia Mathematica, 2003 Let \(X\) denote a separable, complete, metrizable topological vector space (a separable \(F\)-space). A sequence \((T_n) \subset L(X)\) of continuous linear operators on \(X\) is called hypercyclic if there exists \(x \in X\), called a hypercyclic vector, for the sequence, such that its orbit \(\{ T_1(x),T_2(x),\dots \}\) is dense in \(X\). A sequence
Bernal-González, L. +1 more
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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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Hypercyclic tuples of operators on $C^n$ and $R^n$ [PDF]
, 2012 A tuple $(T_1,\dots,T_n)$ of continuous linear operators on a topological vector space $X$ is called hypercyclic if there is $x\in X$ such that the the orbit of $x$ under the action of the semigroup generated by $T_1,\dots,T_n$ is dense in $X$.
Shkarin, Stanislav
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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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Hypercyclic convolution operators on spaces of entire functions
, 2021 A classical result of Birkhoff states that every nontrivial translation operator on the space H (C) of entire functions of one complex variable is hypercyclic.
Favaro, Vinicius V., Mujica, Jorge
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$\epsilon$-hypercyclic operators that are not $\delta$-hypercyclic for $\delta$ < $\epsilon$ [PDF]
, 2023 For every fixed $\epsilon$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $\delta$-hypercyclic for all $\delta$ $\in$ ($\epsilon$, 1) and which is not $\delta$-hypercyclic for all $\delta$ $\in$ (0, $\epsilon$).
Bayart, Frédéric
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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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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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Operators Approximable by Hypercyclic Operators [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2015 We show that operators on a separable infinite dimensional Banach space $X$ of the form $I +S$, where $S$ is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on $X$, in fact in the closure of the mixing operators.
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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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