Results 11 to 20 of about 1,158,171 (157)

HYPERCYCLIC COMPOSITION OPERATORS

Journal of Vasyl Stefanyk Precarpathian National University, 2015
In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions.
Z.H. Mozhyrovska
doaj   +3 more sources

The Strong Disjoint Blow-Up/Collapse Property

Journal of Function Spaces and Applications, 2013
Let be a topological vector space, and let be the algebra of continuous linear operators on . The operators are disjoint hypercyclic if there is such that the orbit is dense in .
Héctor N. Salas
doaj   +2 more sources

On Some Subspace Codiskcyclic Operators in Banach Spaces

International Journal of Mathematics and Mathematical Sciences
This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators.
Peter Masong Slaa, Santosh Kumar, Marco Mpimbo   +2 more
doaj   +2 more sources

Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces

Journal of Function Spaces, 2015
We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces.
Zoryana Mozhyrovska, Andriy V. Zagorodnyuk   +1 more
doaj   +2 more sources

An Extension of Hypercyclicity for N-Linear Operators

Abstract and Applied Analysis, 2014
Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
doaj   +2 more sources

On Cesaro-Hypercyclic Operators

International Journal of Analysis and Applications
In this paper we characterize some properties of the Cesaro-Hypercyclic and mixing operators. At the same time, we also give a Cesaro-Hypercyclicity criterion and offer an example of this criterion.
Mohammed El Berrag
semanticscholar   +2 more sources

ε-hypercyclic operators that are not δ-hypercyclic for δ < ε

Journal of Mathematical Analysis and Applications, 2023
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, $ε$).
F. Bayart
semanticscholar   +2 more sources

Notes on the Hypercyclic Operator

Journal of Mathematical Extension, 2008
In this paper by using a nice criterion, we show that the perturbation of identity operators by some multiples of the standard backward shift is hypercyclic. This gives a new proof for Salas Theorem in ( [10 ], Theorem 3.3).
H. Rezaei
doaj   +1 more source

Hypercyclic Toeplitz Operators [PDF]

Results in Mathematics, 2016
Minor corrections.
Anton Baranov, Andrei Lishanskii
openaire   +3 more sources

Frequently hypercyclic operators [PDF]

Transactions of the American Mathematical Society, 2006
We investigate the subject of linear dynamics by studying the notion of frequent hypercyclicity for bounded operators T T ...
Bayart, Frédéric, Grivaux, Sophie
openaire   +2 more sources