Results 11 to 20 of about 1,090 (133)
Numerically Hypercyclic Operators
Integral Equations and Operator Theory, 2012 Sung Guen Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0009854). A. Peris was supported in part by MICINN and FEDER, Project MTM2010-14909, and by Generalitat Valenciana, Project PROMETEO/2008/101.
Kim, Sung Guen +2 more
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On Some Subspace Codiskcyclic Operators in Banach Spaces
International Journal of Mathematics and Mathematical SciencesThis paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators.
Peter Masong Slaa +2 more
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Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces
Journal of Function Spaces, 2015 We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces.
Zoryana Mozhyrovska +1 more
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Abstract and Applied AnalysisIn this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age-structured cell cycle model.
Cheng-Hung Hung
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Non‐Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou +2 more
wiley +1 more source
On the Recurrent C0‐Semigroups, Their Existence, and Some Criteria
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, recurrent C0‐semigroups are introduced and investigated. It is proved that, despite hypercyclic C0‐semigroups, recurrent C0‐semigroups can be found on finite‐dimensional Banach spaces. Some criteria are stated for recurrence, which is based on open sets, neighborhoods of zero, and special eigenvectors.
Mansooreh Moosapoor, Tuncer Acar
wiley +1 more source
Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk +2 more
wiley +1 more source
Difference sets and frequently hypercyclic weighted shifts [PDF]
, 2013 We solve several problems on frequently hypercyclic operators. Firstly, we characterize frequently hypercyclic weighted shifts on $\ell^p(\mathbb Z)$, $p\geq 1$.
Bayart, Frédéric, Ruzsa, Imre
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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 operators on countably dimensional spaces [PDF]
, 2012 According to Grivaux, the group $GL(X)$ of invertible linear operators on a separable infinite dimensional Banach space $X$ acts transitively on the set $\Sigma(X)$ of countable dense linearly independent subsets of $X$.
Albanese +10 more
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