Amenability of representations and invariant Hahn-Banach theorems

DOI10.1007/s41478-020-00223-3zbMath1479.43002OpenAlexW2999585139WikidataQ126328270 ScholiaQ126328270MaRDI QIDQ1996455

Hugo D. Junghenn

Publication date: 5 March 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-020-00223-3

zbMATH Keywords

invariant meanrepresentationinvariant measuresemitopological semigroupweakly almost periodicinvariant extensionHahn-Banach linear extension

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Vector-valued set functions, measures and integrals (28B05) Groups and semigroups of linear operators (47D03) Measures on groups and semigroups, etc. (43A05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) 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 (2)

Scalarly weakly almost periodic distal representations are strongly almost periodic ⋮ Application of abstract semigroup theory to the asymptotic behavior of \(C_0\)-semigroups

Cites Work

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• Applications of almost periodic compactifications
• Almost periodic functions on semigroups
• Compact semitopological semigroups: An intrinsic theory
• On connections between various forms of almost-periodic representations of groups
• Compact semitopological semigroups and weakly almost periodic functions
• Integration of almost periodic functions
• Extensions of linear functionals, with applications to limits, integrals, measures, and densities
• Invariant extension of linear functionals
• Means on Semigroups and the Hahn-Banach Extension Property
• On Bounded Functions with Almost Periodic Differences
• Linear Hahn–Banach extension operators
• Operator Semigroup Compactifications
• Almost periodic functions and representations in locally convex spaces
• Abstract Ergodic Theorems and Weak Almost Periodic Functions

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