Dynamics of multivalued linear operators

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ID: 70013
2017
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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.
Reference Key
chungchuan2017dynamicsopen Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Chung-Chuan, Chen;Alberto, Conejero J.;Marko, Kostić;Marina, Murillo-Arcila;
Journal open mathematics
Year 2017
DOI
DOI not found
URL
http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0082/math-2017-0082.xml?format=INT
Keywords
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