Dynamics of multivalued linear operators-Reference-Cited by-同舟云学术

Dynamics of multivalued linear operators

Published:2017-07-13 Issue:1 Volume:15 Page:948-958
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Chen Chung-Chuan¹,Conejero J. Alberto²,Kostić Marko³,Murillo-Arcila Marina⁴

Affiliation:

1. Department of Mathematics Education, National Taichung University of Education, Taichung 403, Taiwan

2. Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de VaÌencia, E-46022, València, Spain

3. Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, Serbia

4. Departamento de Matemáticas, Universitat Jaume I, Campus de Ríu Sec, E-12071, Castelló de la Plana, Spain

Abstract

Abstract We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos. We also consider the case of disjointness, in which any of these properties are simultaneously satisfied by several operators. We revisit some sufficient well-known computable criteria for determining those properties. The analysis of the dynamics of extensions of linear operators to MLO’s is also considered.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0082/pdf

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