Dynamics of multivalued linear operators

• Autorzy: Chung-Chuan Chen , J. Alberto Conejero , Marko Kostić , Marina Murillo-Arcila
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hypercyclicity; Topological transitivity; Topologically mixing property; Devaney chaos; Multivalued linear operators

Kategorie tematyczne

• 47A16: Cyclic vectors, hypercyclic and chaotic operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 948-958

Daty

wydano

2017-01-01

otrzymano

2016-12-23

zaakceptowano

2017-06-05

online

2017-07-13

Twórcy

autor

Chung-Chuan Chen

• , , ,

autor

J. Alberto Conejero

• , , , ,

autor

Marko Kostić

• , , ,

autor

Marina Murillo-Arcila

• , , ,

Identyfikatory

DOI

10.1515/math-2017-0082