Results 41 to 50 of about 131 (122)

Dynamics of composition operators on weighted Banach Spaces of holomorphic functionsweighted Banach space

open access: yes四川大学学报. 自然科学版, 2017
In this paper, we discuss the disjoint hypercyclicity of linear composition on the weighted Banach spaces.Moreover,according to the difference of the analytic maps,we obtain a sufficient condition for the disjoint hypercyclicity and disjoint ...
HU Xiao-He
doaj  

On locally finite groups whose derived subgroup is locally nilpotent

open access: yesMathematische Nachrichten, Volume 297, Issue 12, Page 4389-4400, December 2024.
Abstract A celebrated theorem of Helmut Wielandt shows that the nilpotent residual of the subgroup generated by two subnormal subgroups of a finite group is the subgroup generated by the nilpotent residuals of the subgroups. This result has been extended to saturated formations in Ballester‐Bolinches, Ezquerro, and Pedreza‐Aguilera [Math. Nachr.
Marco Trombetti
wiley   +1 more source

Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators

open access: yesOpen Mathematics, 2018
We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ...
Ma Yingbin, Wang Cui
doaj   +1 more source

Frequently Hypercyclic Semigroup Generated by Some Partial Differential Equations with Delay Operator

open access: yesAbstract and Applied Analysis, Volume 2024, Issue 1, 2024.
In this paper, under appropriate hypotheses, we have the existence of a solution semigroup of partial differential equations with delay operator. These equations are used to describe time–age‐structured cell cycle model. We also prove that the solution semigroup is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Victor Kovtunenko
wiley   +1 more source

Non-Weakly Supercyclic Weighted Composition Operators

open access: yesAbstract and Applied Analysis, 2010
We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted ...
Z. Kamali   +2 more
doaj   +1 more source

$q$-Frequently hypercyclic operators [PDF]

open access: yesBanach Journal of Mathematical Analysis, 2015
13 pages, to ...
Gupta, Manjul, Mundayadan, Aneesh
openaire   +4 more sources

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

open access: yes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  

D-Cyclic Operators: A Unified Framework for Cyclicity in Linear Dynamics

open access: yesMathematics
We introduce the notion of D-cyclicity for bounded linear operators on a separable infinite-dimensional complex Banach space, which unifies several classical cyclicity concepts through appropriate choices of D⊂C.
B. Sanooj, P. B. Vinod Kumar
doaj   +1 more source

Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators

open access: yesمجلة 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

open access: yesJournal 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  

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