Results 41 to 50 of about 100 (68)
Three results in linear dynamics
, 2023 In this article, first we show that the Fr\'echet space $H(\Bbb D)$ cannot support strongly supercyclic weighted composition operators.
Ansari, Mohammad
core
Dynamics of Operator-Weighted Shifts [PDF]
, 2019 This paper investigates the dynamics of bilateral operator-weighted shifts on [Formula: see text] with a weight sequence of positive diagonal operators on a Hilbert space [Formula: see text].
Qiaomin Xiang, Yuming Chen, Zongbin Yin
core +1 more source
Nonwandering operators in Banach space
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 24, Page 3895-3908, 2005., 2005 We introduce nonwandering operators in infinite‐dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but different from them. Firstly, we show some examples for nonwandering operators in some typical infinite‐dimensional Banach spaces, including Banach sequence space and physical background
Lixin Tian +3 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This article extends Alfredo Peris’s work on chaos in set‐valued dynamics by providing new characterizations and applications of transitivity and mixing properties. Peris demonstrated that the topological transitivity of a set‐valued map is closely related to the weak mixing property of the individual map.
Illych Alvarez, Mehmet Ünver
wiley +1 more source
Relationships between subspaces, ciclicity and hypercyclicity in Banach spaces
, 2020 Dado um espaço de Banach $X$, um operador linear limitado $T$ em $X$ é dito {\\it hipercíclico} se existir um vetor $x \\in X$ tal que o conjunto $\\orb{(x,T)} \\eqdef \\{x, Tx, T^2x, T^3x, \\ldots T^nx \\ldots \\}$ é denso em $X$.
Augusto, Andre Quintal
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Dynamics, Operator Theory, and Infinite Holomorphy
, 2014 Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Alfred Peris +3 more
wiley +1 more source
Multidiskcyclic Operators on Banach Spaces [PDF]
, 2019 In this paper, we dene and study multidiskcyclic operators and nd some of their properties. Alfredo Peris (Peris, A. (2001). Multi-hypercyclic operators are hypercyclic.
Bamerni, Nareen
core
Comportamiento caótico en compactos invariantes para operadores lineales
, 2012 Se estudia el comportamiento caótico en compactos invariantes para operadores lineales. Se dan algunos resultados que permiten obtener este tipo de operadores y se proporcionan algunos ejemplos concretos. Se recopilan resultados previos para subespacios,
Murillo Arcila, Marina
core
Discrete cyclic systems and circle congruences. [PDF]
Ann Mat Pura Appl, 2022 Hertrich-Jeromin U, Szewieczek G.
europepmc +1 more source
Subspace-diskcyclic sequences of linear operators [PDF]
, 2016 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
core +1 more source