Results 61 to 70 of about 592 (143)

Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space

四川大学学报. 自然科学版, 2017
We characterize the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space.We obtain that there are no hypercyclic composition operators on the Little Bloch Space and the Besov space when holomorphic self-map is an
ZHOU Ning, CHEN Cui
doaj  

Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators

مجلة بغداد للعلوم, 2010
Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1.
Baghdad Science Journal
doaj   +1 more source

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  

Metric Semigroups and Groups of Multisets

Researches in Mathematics
We investigate the algebraic and topological properties of sets of complex multisets associated with Banach spaces having symmetric bases. We consider algebraic structures on the sets of multisets and compare some natural metrics on the (semi)groups of ...
D.Y. Dolishniak, A.V. Zagorodnyuk
doaj   +1 more source

The Hypercyclicity Criterion for sequences of operators

, 2003
We show that under no hypotheses on the density of the ranges of the mappings involved, an almost-commuting sequence (Tn) of operators on an F-space X satisfies the Hypercyclicity Criterion if and only if it has a hereditarily hypercyclic subsequence ...
Bernal González, Luis, Grosse Erdmann, Karl G.   +1 more
core   +1 more source

Disjoint frequent hypercyclicity of composition operators

, 2023
International audienceWe give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on $H(\mathbb D)$ or on the Hardy space $H^2(\mathbb D)$.
Bayart, Frédéric
core   +1 more source

Tuples with Property of Cyclicity Criterions

Journal of Mathematical Extension, 2012
In this paper we give conditions under which a tuple of operators satisfying the hypercyclicity, supercyclicity and cyclicity criterions.
M. J. Ataei∗, B. Yousefi
doaj  

Dynamics, Operator Theory, and Infinite Holomorphy

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris, Manuel Maestre, Miguel Martín, Yun Sung Choi   +3 more
wiley   +1 more source

Rate of Growth of Hypercyclic and Frequently Hypercyclic Functions for the Dunkl Operator [PDF]

Mediterranean Journal of Mathematics, 2016
For the Dunkl operator $Λ_α$ $(α> -1/2)$ on the space of entire functions on the complex space C, the critical rate of growth for the integral means $M_p(f,r)$ of their hypercyclic functions $f$ is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.
Bernal González, Luis, Bonilla Ramírez, Antonio Lorenzo   +1 more
openaire   +5 more sources

Weakly Hypercyclic Composition Operators on some Hilbert Spaces of Analytic Functions

Journal of Mathematical Extension, 2013
In this paper, weakly supercyclicity and weakly hypercyclicity of composition operators on some Hilbert spaces of analytic functions, especially on some weighted Hardy spaces are investigated.
Z. Kamali
doaj