Results 31 to 40 of about 90 (84)
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
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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 +3 more
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Dynamics, Operator Theory, and Infinite Holomorphy
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris +3 more
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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 ...
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Hypercyclic subspaces and weighted shifts
Advances in Mathematics, 2014 27 ...
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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.
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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.
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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.
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Explicit Constructions of Dense Common Hypercyclic Subspaces
Publications of the Research Institute for Mathematical Sciences, 2007 We give an explicit construction of a dense infinite dimensional vector space of hypercyclic vectors for the weighted backward shift _T_λ (|λ| > 1). We also develop a technique to construct common hypercyclic vectors for countable families of these operators.
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Lie applicable surfaces and curved flats. [PDF]
Manuscr Math, 2022 Burstall F, Pember M.
europepmc +1 more source