Results 71 to 80 of about 990 (118)

Densely hereditarily hypercyclic sequences and large hypercyclic manifolds [PDF]

Proceedings of the American Mathematical Society, 1999
We prove in this paper that if ( T n ) (T_{n}) is a hereditarily hypercyclic sequence of continuous linear mappings between two topological vector spaces X X and Y Y , where Y Y is metrizable, then there is an ...
openaire   +1 more source

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  

Mean Li-Yorke chaos in Banach spaces

, 2018
We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics on compact metric spaces. We prove
Bernardes Jr., N. C., Bonilla, A., Peris, A.   +2 more
core  

Subspace-diskcyclic sequences of linear operators [PDF]

Sahand Communications in Mathematical Analysis, 2017
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}
Mohammad Reza Azimi
doaj  

Strong mixing measures for $C_0$-semigroups

, 2013
Our purpose is to obtain a very effective and general method to prove that certain $C_0$-semigroups admit invariant strongly mixing measures. More precisely, we show that the Frequent Hypercyclicity Criterion for $C_0$-semigroups ensures the existence of
Murillo-Arcila, Marina, Peris, Alfredo
core  

Fast orbital convergence reveals more hypercyclic vectors

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
doaj   +1 more source

HYPERCYCLIC OPERATOR WEIGHTED SHIFTS

Bulletin of the Korean Mathematical Society, 2004
A bounded linear operator \(T\) on a Hilbert space \(H\) is said to be hypercyclic if, for some \(x \in H\), the orbit \(\{T^{n}x : n=0,1,2,\dots \}\) is dense in \(H\). In the paper under review, the authors give a characterization for hypercyclicity of a bilateral operator weighted shift \(T\) on the Hilbert space \(L^{2}(K)\).
Hazarika, Munmun, Arora, S. C.
openaire   +3 more sources

Hypercyclic algebras

Journal of Functional Analysis, 2019
We prove the existence of algebras of hypercyclic vectors in three cases: convolution operators, composition operators, and backward shift operators.
openaire   +3 more sources

Limit and extended limit sets of matrices in Jordan normal form

, 2010
In this note we describe the limit and the extended limit sets of every vector for a single matrix in Jordan normal form.Comment: 10 pages, we corrected some typos and we added a ...
Costakis, George, Manoussos, Antonios
core  

On the Epsilon Hypercyclicity of a Pair of Operators

Journal of Mathematical Extension, 2011
In this paper we prove that if a pair of operators is - hypercyclic for all  > 0, then it is topologically ...
B. Yousefi∗, K. Jahedi
doaj