Dynamical entropy in Banach spaces

DOI10.1007/s00222-005-0457-9zbMath1092.46047arXivmath/0407386OpenAlexW3105281498MaRDI QIDQ2574969

Hanfeng Li, David Kerr

Publication date: 5 December 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407386

zbMATH Keywords

approximation entropyCA entropy

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Noncommutative dynamical systems (46L55) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (25)

Generically infinite entropy in a simple AF algebra ⋮ Independence in topological and \(C^*\)-dynamics ⋮ Dynamics on sensitive and equicontinuous functions ⋮ Circularly ordered dynamical systems ⋮ Relativization of dynamical properties ⋮ Entropy in a category ⋮ Relative uniformly positive entropy of induced amenable group actions ⋮ A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled ⋮ The connection between topological and algebraic entropy ⋮ The Pinsker subgroup of an algebraic flow ⋮ Recurrence properties and disjointness on the induced spaces ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey ⋮ Mean equicontinuity, complexity and applications ⋮ Measure complexity and Möbius disjointness ⋮ Zero sequence entropy and entropy dimension ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ Sequences from zero entropy noncommutative toral automorphisms and Sarnak conjecture ⋮ Local entropy theory ⋮ Topological entropy of nonautonomous dynamical systems ⋮ Combinatorial lemmas and applications to dynamics ⋮ Combinatorial independence in measurable dynamics ⋮ Mean equicontinuity, almost automorphy and regularity ⋮ Uniformly positive entropy of induced transformations ⋮ On the topological entropy of induced transformations for free semigroup action ⋮ On geometric entropy in Hilbert spaces

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