Results 51 to 60 of about 893 (111)
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
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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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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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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On chaotic 𝐶₀-semigroups and infinitely regular hypercyclic vectors [PDF]
Proceedings of the American Mathematical Society, 2006 A C 0 C_0 -semigroup T = ( T ( t ) ) t ≥ 0 \mathcal {T}=(T(t))_{t\geq 0} on a Banach space X X is called hypercyclic if there exists an element
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Exponential type of hypercyclic entire functions [PDF]
, 2002 In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential operators is considered, where every Φn is an entire function of exponential type.
Bernal González, Luis +1 more
core
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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Some recent work in Frechet geometry
, 2011 Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
core
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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