The specification property and infinite entropy for certain classes of linear operators

DOI10.1016/j.jmaa.2017.04.041zbMath1378.37014OpenAlexW2608522549MaRDI QIDQ2627929

Tim Tennant, James P. Kelly, William Rea Brian

Publication date: 9 June 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.04.041

zbMATH Keywords

sequence spacetranslationspecification property

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Linear relations (multivalued linear operators) (47A06)

Related Items (4)

Jℱ-Class Weighted Backward Shifts ⋮ Recurrence and topological entropy of translation operators ⋮ Disjoint Hypercyclicity and Topological Entropy of Composition Operators ⋮ Linear operators with infinite entropy

Cites Work

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• Generic property of irregular sets in systems satisfying the specification property
• Linear chaos
• A note on the average shadowing property for expansive maps
• Operators with the specification property
• Shift spaces, \(\omega \)-chaos and specification property
• On maps with dense orbits and the definition of chaos
• A panorama of specification-like properties and their consequences
• The specification property for backward shifts
• Frequently hypercyclic semigroups
• Frequently hypercyclic operators
• Frequently hypercyclic operators and vectors
• On Devaney's Definition of Chaos
• On Dynamical Systems With the Specification Property
• Weak specification properties and large deviations for non-additive potentials
• Cantor Sets, Bernoulli Shifts and Linear Dynamics
• Topological Entropy

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