Representations of dynamical systems on Banach spaces not containing $l_{1}$

DOI10.1090/S0002-9947-2012-05549-8zbMath1317.54013arXiv0803.2320OpenAlexW2963832428MaRDI QIDQ2844844

Michael G. Megrelishvili, Shmuel Glasner

Publication date: 20 August 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2320

zbMATH Keywords

enveloping semigroupfragmentabilityBaire one functionBanach representation of dynamical systemRosenthal's compactRosenthal's dichotomytame system

Mathematics Subject Classification ID

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Cites Work

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• Topics in topology
• On metrizable enveloping semigroups
• Borel selectors for upper semi-continuous set-valued maps
• A dual geometric characterization of Banach spaces not containing \(l_ 1\).
• Compacts de Rosenthal
• Separate continuity and joint continuity
• Factoring weakly compact operators
• A double-dual characterization of separable Banach spaces containing \(\ell^1\)
• Banach spaces which are Asplund spaces
• \(\sigma\)-fragmentability of multivalued maps and selection theorems
• Fragmentability and continuity of semigroup actions
• On fixed point theorems and nonsensitivity
• Geometric aspects of convex sets with the Radon-Nikodym property
• Enveloping semigroups in topological dynamics
• Independence in topological and \(C^*\)-dynamics
• Pointwise Compact Sets of Baire-Measurable Functions
• Hereditarily non-sensitive dynamical systems and linear representations
• Tame systems and scrambled pairs under an Abelian group action
• New algebras of functions on topological groups arising from G-spaces
• Pettis integral and measure theory
• Note on Compact Sets of First Baire Class Functions
• Radon‐Nikodým compact spaces and fragmentability
• Weakly Almost Periodic Flows
• A Characterization of Banach Spaces Containing l ¹
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Some recent discoveries in the isomorphic theory of Banach spaces
• Point-Wise Compact Subsets of the First Baire Class
• Sensitive dependence on initial conditions
• A separable somewhat reflexive Banach space with nonseparable dual
• The structure of tame minimal dynamical systems
• On tame dynamical systems

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