Almost periodic functions and representations in locally convex spaces

DOI10.1070/RM2005v060n03ABEH000849zbMath1119.43005OpenAlexW2050619264MaRDI QIDQ5492067

Alexander I. Shtern

Publication date: 12 October 2006

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2005v060n03abeh000849

zbMATH Keywords

Radon Nikodým propertySchur propertyDunford-Pettis propertyBohr compactificationAsplund propertyErgodic theoryTopological dynamicsAlmost periodic representations on locally convex spacesCompact semitopological semigroupDecomposition theorems for weakly almost periodic representationsMean on weakly almost periodic functionsSemigroup compactificationspectrum of a scalarly almost periodic functionVec\-tor-valued (weakly) almost periodic functionWeakly almost periodic representations on locally convex spaces

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Analysis on topological semigroups (22A20) Classical almost periodic functions, mean periodic functions (42A75) Groups and semigroups of linear operators (47D03) Unitary representations of locally compact groups (22D10) Barrelled spaces, bornological spaces (46A08) Spaces of linear operators; topological tensor products; approximation properties (46A32) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Means on groups, semigroups, etc.; amenable groups (43A07) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (9)

Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture ⋮ Weakly almost periodic functions in topological vector spaces ⋮ Almost periodic type functions of several variables and applications ⋮ Duality between compactness and discreteness beyond Pontryagin duality ⋮ Almost Periodic at Infinity Functions Relative to the Subspace of Functions Integrally Decrease at Infinity ⋮ Scalarly weakly almost periodic distal representations are strongly almost periodic ⋮ Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups ⋮ Amenability of representations and invariant Hahn-Banach theorems ⋮ Harmonic analysis of functions in homogeneous spaces and harmonic distributions that are periodic or almost periodic at infinity

This page was built for publication: Almost periodic functions and representations in locally convex spaces