Results 11 to 20 of about 108 (97)

The Strong Disjoint Blow-Up/Collapse Property

Journal of Function Spaces and Applications, 2013
Let be a topological vector space, and let be the algebra of continuous linear operators on . The operators are disjoint hypercyclic if there is such that the orbit is dense in .
Héctor N. Salas
doaj   +2 more sources

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, Yuxia Liang, Francisco J. Garcia Pacheco   +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, Zoriana Novosad, Ismat Beg   +2 more
wiley   +1 more source

Hypercyclic operators on topological vector spaces [PDF]

Journal of the London Mathematical Society, 2012
The paper is submitted to Journal of ...
openaire   +2 more sources

Algebrable sets of hypercyclic vectors for convolution operators [PDF]

Israel Journal of Mathematics, 2020
We show that several convolution operators on the space of entire functions, such as the MacLane operator, support a dense hypercyclic algebra that is not finitely generated. Birkhoff's operator also has this property on the space of complex-valued smooth functions on the real line.
Bès, Juan, Papathanasiou, Dimitris
openaire   +2 more sources

Common hypercyclic vectors for the conjugate class of a hypercyclic operator

Journal of Mathematical Analysis and Applications, 2011
Let \(X\) be an infinite-dimensional, separable Banach space and \(B(X)\) the algebra of all bounded linear operators on \(X\). The authors show that, if \(T\) is a continuous hypercyclic operator on \(X\), then the conjugate set \(S(T):=\{L^{-1}TL: L\in B(X)\) invertible\} contains a path \(\{F_t\in B(X)\), \(t\in [1,\infty[\}\) of operators which is ...
Chan, Kit C., Sanders, Rebecca
openaire   +1 more source

Frequently hypercyclic random vectors

Proceedings of the American Mathematical Society, 2022
We show that, under suitable conditions, an operator acting like a shift on some sequence space has a frequently hypercyclic random vector whose distribution is strongly mixing for the operator. This result will be applied to chaotic weighted shifts.
openaire   +4 more sources

Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata, Marko Kostić, Khalil Ezzinbi   +2 more
wiley   +1 more source

Common hypercyclic vectors and dimension of the parameter set

Indiana University Mathematics Journal, 2022
We investigate the existence of a common hypercyclic vector for a family $(T_λ)_{λ\in Λ}$ of hypercyclicoperators acting on the same Banach space $X$. We give positive and negative results involving the dimension of $Λ$ and the regularity of each map $λ\in Λ\mapsto T_λ^n x$, $x\in X$, $n\in\mathbb N$.
Bayart, Frédéric, Costa, Fernando Jr, Menet, Quentin   +2 more
openaire   +5 more sources