Results 31 to 40 of about 92 (85)

Subspace hypercyclicity for Toeplitz operators

Journal of Mathematical Analysis and Applications, 2015
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Martínez-Avendaño, Rubén A., Zatarain-Vera, Oscar   +1 more
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Advanced Extensions and Applications of Transitivity and Mixing in Set‐Valued Dynamics With Numerical Simulations and Visual Insights

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This article extends Alfredo Peris’s work on chaos in set‐valued dynamics by providing new characterizations and applications of transitivity and mixing properties. Peris demonstrated that the topological transitivity of a set‐valued map is closely related to the weak mixing property of the individual map.
Illych Alvarez, Mehmet Ünver
wiley   +1 more source

Subspaces of Frequently Hypercyclic Functions for Sequences of Composition Operators [PDF]

Constructive Approximation, 2019
In this paper, a criterion for a sequence of composition operators defined on the space of holomorphic functions in a complex domain to be frequently hypercyclic is provided. Such criterion improves some already known special cases and, in addition, it is also valid to provide dense vector subspaces as well as large closed ones consisting entirely ...
Bernal González, Luis, Calderón Moreno, María del Carmen, Jung, Andreas, Prado Bassas, José Antonio   +3 more
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Dynamics, Operator Theory, and Infinite Holomorphy

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris, Manuel Maestre, Miguel Martín, Yun Sung Choi   +3 more
wiley   +1 more source

Hypercyclic Subspaces on Fréchet Spaces Without Continuous Norm [PDF]

Integral Equations and Operator Theory, 2013
Known results about hypercyclic subspaces concern either Fr chet spaces with a continuous norm or the space . We fill the gap between these spaces by investigating Fr chet spaces without continuous norm. To this end, we divide hypercyclic subspaces into two types: the hypercyclic subspaces M for which there exists a continuous seminorm p such that ...
openaire   +3 more sources

Invertible Subspace-Hypercyclic Operators

Journal of Mathematical Extension, 2015
A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic.
S. Talebi, B. Yousefi, M. Asadipour
doaj  

Hypercyclic subspaces and weighted shifts

Advances in Mathematics, 2014
27 ...
openaire   +2 more sources

Notes on subspace-hypercyclic operators

Journal of Mathematical Analysis and Applications, 2013
Let \(X\) be a separable infinite-dimensional Banach space. A recent new notion in linear dynamics was introduced by \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} in [J. Math. Anal. Appl. 373, No. 2, 502--511 (2011; Zbl 1210.47023)], namely, the notion of subspace-hypercyclicity.
openaire   +2 more sources

Linear Subspaces of Hypercyclic Vectors

Real Analysis Exchange, 2018
In my talk I presented results from previous papers on the existence of hypercyclic algebras for convolution operators acting on the space of entire functions.
openaire   +2 more sources

Subspace-hypercyclic conditional type operators on $L^p$-spaces

, 2022
A conditional weighted composition operator $T_u: L^p(Σ)\rightarrow L^p(\mathcal{A})$ ($1\leq p<\infty$), is defined by $T_u(f):= E^{\mathcal{A}}(u f\circ φ)$, where $φ: X\rightarrow X$ is a measurable transformation, $u$ is a weight function on $X$ and $E^{\mathcal{A}}$ is the conditional expectation operator with respect to $\mathcal{A}$.
Azimi, M. R., Naghdi, Z.
openaire   +2 more sources