Results 41 to 50 of about 108 (97)
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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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
Common Hypercyclic Vectors for High-Dimensional Families of Operators [PDF]
International Mathematics Research Notices, 2015 Let $(T\_λ)\_{λ\inΛ}$ be a family of operators acting on a $F$-space $X$, where the parameter space $Λ$ is a subset of $\mathbb R^d$. We give sufficient conditions on the family to yield the existence of a vector $x\in X$ such that, for any $λ\inΛ$, the set $\big\{T\_λ^n x;\ n\geq 1\big\}$ is dense in $X$.
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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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Genericity of wild holomorphic functions and common hypercyclic vectors
Advances in Mathematics, 2004 If \(X\) is a Fréchet space and \(T :X\to X\) is a continuous linear operator, then \(T\) is called hypercyclic if there is a vector \(x\in X\) whose orbit \(\{x,Tx,T^2x,\dots\}\) is dense in \(X\). In this case, \(x\) is called a hypercyclic vector for \(T\).
Costakis, George, Sambarino, Martı́n
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Common hypercyclic vectors and universal functions
, 2015 Let X,Y be two separable Banach or Frechet spaces , and (Tn) , n=1,2,... be a sequence from linear and continuous operators from X to Y . We say that the sequence (Tn) , n=1,2,... is universal , if there exists some vector v in X such that the sequence Tn(v) , n=1,2,... is dense in Y . If X=Y we say that the sequence (Tn) is hypercyclic .More generally
Costakis, George, Tsirivas, Nikos
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Hypercyclic vectors and algebras
, 2021 Ce travail contribue à la théorie de l'hypercyclicité et à des concepts liés. Nous nous sommes principalement intéressés à des algèbres de vecteurs hypercycliques pour opérateurs agissant sur une algèbre de Fréchet de suites, bien que quelques contributions portent sur l'existence d'un seul vecteur.
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On chaotic 𝐶₀-semigroups and infinitely regular hypercyclic vectors [PDF]
Proceedings of the American Mathematical Society, 2006 A C 0 C_0 -semigroup
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Lie applicable surfaces and curved flats. [PDF]
Manuscr Math, 2022 Burstall F, Pember M.
europepmc +1 more source
A hypercyclicity criterion for non-metrizable topological vector spaces [PDF]
Functiones et Approximatio Commentarii Mathematici, 2018 We provide a sufficient condition for an operator $T$ on a non-metrizable and sequentially separable topological vector space $X$ to be sequentially hypercyclic. This condition is applied to some particular examples, namely, a composition operator on the space of real analytic functions on $]0,1[$, which solves two problems of Bonet and Domański \cite ...
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