Results 51 to 60 of about 592 (143)

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

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  

G- Cyclicity And Somewhere Dense Orbit

مجلة بغداد للعلوم, 2010
let H be an infinite – dimensional separable complex Hilbert space, and S be a multiplication semigroup of  with 1. An operator T is called G-cyclic over S if there is a non-zero vector xÎ H such that {aTn  x½aÎS, n ≥0} is norm-dense in H.
Zeana Zaki Jamil
doaj   +1 more source

On locally finite groups whose derived subgroup is locally nilpotent

Mathematische 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

A review of some recent work on hypercyclicity [PDF]

, 2012
Even linear operators on infinite-dimensional spaces can display interesting dynamical properties and yield important links among functional analysis, differential and global geometry and dynamical systems, with a wide range of applications.
Dodson, CTJ, C. T. J. Dodson
core   +2 more sources

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

Abstract 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

Weighted U-frequent hypercyclicity [PDF]

, 2018
We study a family of weighted densities and we prove that they give rise to dynamical notions lying between U-frequent hypercyclicity and reiterative ...
Esser, Céline
core  

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

Mathematics
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

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

Open 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

Non-Weakly Supercyclic Weighted Composition Operators

Abstract 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, K. Hedayatian, B. Khani Robati   +2 more
doaj   +1 more source

$q$-Frequently hypercyclic operators [PDF]

Banach Journal of Mathematical Analysis, 2015
13 pages, to ...
Gupta, Manjul, Mundayadan, Aneesh
openaire   +4 more sources