Results 11 to 20 of about 453,986 (139)

A Hypercyclic Operator whose Adjoint is Also Hypercyclic [PDF]

Proceedings of the American Mathematical Society, 1991
An operator T T acting on a Hilbert space
Héctor Salas
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Hypercyclic operators are subspace hypercyclic [PDF]

Journal of Mathematical Analysis and Applications, 2016
A bounded operator \(T\) on a separable Banach space \(X\) is called subspace hypercyclic for a subspace \(M\) of \(X\) if there is a vector \(x \in X\) such that the intersection of its orbit and \(M\) is dense in \(M\). The aim of this paper is to solve a question of \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} [J. Math. Anal. Appl. 373,
Nareen Bamerni, Vladimir Kadets, Adem Kılıçman   +2 more
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Fast orbital convergence reveals more hypercyclic vectors [PDF]

Applied General Topology
Let X be an infinite dimensional separable Banach space, T : X → X be a hypercyclic operator, and x ∈ X be a (frequently) hypercyclic vector of T. We show that if the terms from the T-orbit of x converge to a vector y sufficiently fast, then y is also a ...
T. K. Subrahmonian Moothathu
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On subspace-hypercyclic operators [PDF]

Proceedings of the American Mathematical Society, 2011
In this paper we study an operator T T on a Banach space
Can Le
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Invertible Subspace-Hypercyclic Operators [PDF]

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
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Porosity and hypercyclic operators [PDF]

Proceedings of the American Mathematical Society, 2005
We study if the set of hypercyclic vectors of a hypercyclic operator is the complement of a σ \sigma
Bayart, F., Moreau, P., Matheron, É.
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On the Weakly Hypercyclic Composition Operators on Hardy Spaces

Journal of Mathematical Extension, 2010
An operator T on a Banach space X is said to be weakly hypercyclic if there exists a vector x ∈ X whose orbit under T is weakly dense in X. We show that every weakly hypercyclic composition operator on classic Hardy space H2 is norm hypercyclic.
H. Rezaei
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Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity [PDF]

Ergodic Theory and Dynamical Systems
Abstract We introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity. This notion is useful for the study of the dynamical properties of direct sums of operators; in particular, a basic observation is that the direct sum of ...
Bayart, Frédéric, Grivaux, Sophie, Matheron, Étienne, Menet, Quentin   +3 more
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ε-hypercyclic operators that are not δ-hypercyclic for δ < ε

Journal of Mathematical Analysis and Applications
For every fixed $ε$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $δ$-hypercyclic for all $δ$ $\in$ ($ε$, 1) and which is not $δ$-hypercyclic for all $δ$ $\in$ (0, $ε$).
Bayart, Frédéric
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Convolution operators and the discrete Laplacian [PDF]

, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
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