Representations of dynamical systems on Banach spaces (Q2874863)

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scientific article; zbMATH DE number 6329560
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Representations of dynamical systems on Banach spaces
scientific article; zbMATH DE number 6329560

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    12 August 2014
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    dynamical systems
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    reflexive Banach spaces
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    enveloping semigroups
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    Representations of dynamical systems on Banach spaces (English)
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    One of the main directions in the survey is the development of compact \(S\)-dynamical systems (\(S\) is a semigroup). There are some new results.NEWLINENEWLINEWith every Banach space are associated some structures related to the topological dynamics, topological groups and topological semigroups.NEWLINENEWLINESome important themes: Weakly almost periodic systems and reflexive Banach spaces. Hereditary non-sensitive systems and Asplund-Banach spaces; Tame systems and Rosenthal-Banach spaces; the crucial role of the Davis-Figiel-Johnson-Pelezynski; representations of groups and functions; sensitivity, fragmentability and fixed point theorems.NEWLINENEWLINEFor the entire collection see [Zbl 1282.54001].
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