Perturbation of distributionally chaotic operators
type: Item
instance of: scholarly article
title: Perturbation of distributionally chaotic operators
author: Zongbin Yin
author: Zhijing Chen
author: Yuming Chen
author: Xinxing Wu
published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
publication date: 2021-09-02T00:00:00Z
review text: The notion of distributional chaos was introduced by Schweizer and Smital and considered for linear operators defined on Banach or Fréchet spaces by several authors. One of the aims of the paper under review is to study the following question. Given a distributionally chaotic operator \(T\) on a separable complex Hilbert space \(H\), under what conditions is the property of distributional chaos for \(T\) preserved under a small linearly dependent perturbation? Several answers are given by the authors.
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 47B37
zbMATH DE Number: 7390111
zbMATH Keywords: distributional chaos
zbMATH Keywords: mean Li-Yorke chaos
zbMATH Keywords: perturbation
zbMATH Keywords: irregular vector
reviewed by: Cătălin Badea
MaRDI profile type: Publication
full work available at URL: s13398-021-01024-4
OpenAlex ID: W3135998206
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DOI: 10.1007/S13398-021-01024-4
description: scientific article; zbMATH DE number 7390111