Means on Semigroups and the Hahn-Banach Extension Property

DOI10.2307/1992913zbMath0072.32501OpenAlexW4233493792MaRDI QIDQ3236030

R. J. Silverman

Publication date: 1956

Full work available at URL: https://doi.org/10.2307/1992913

zbMATH Keywords

Abstract SpacesFunctional Analysis

Related Items (14)

An uncountable ergodic Roth theorem and applications ⋮ Local functionals on \(C_\infty (G)\) and probability ⋮ Common fixed point properties and amenability of a class of Banach algebras ⋮ Invariant means, right ideals and the structure of semitopological semigroups ⋮ Local functionals on \(C_\infty\)(G) and probability ⋮ On character amenability of semigroup algebras ⋮ Variants on the Berz sublinearity theorem ⋮ Amenability of representations and invariant Hahn-Banach theorems ⋮ Representations of semigroups and extension of invariant linear functionals ⋮ Invariant extensions of positive operators for right amenable semigroups ⋮ Invariant Means and Cones With Vector Interiors ⋮ Amenability and Hahn-Banach extension property for set valued mappings ⋮ A weak form of amenability of topological semigroups and its applications in ergodic and fixed point theories ⋮ Topologically left invariant means on semigroup algebras

Cites Work

• Unnamed Item
• Extensions of linear functionals, with applications to limits, integrals, measures, and densities
• Concrete representation of abstract (L)-spaces and the mean ergodic theorem
• Invariant Linear Functions
• A Theorem of the Hahn-Banach Type for Linear Transformations
• Means for the Bounded Functions and Ergodicity of the Bounded Representations of Semi-Groups
• Projections in Normed Linear Spaces
• Banach Spaces with the Extension Property

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