Perturbation of distributionally chaotic operators
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.
scientific article; zbMATH DE number 7390111
scientific article