On the Dimension of Left Invariant Means and Left Thick Subsets

DOI10.2307/1997917zbMath0371.43005OpenAlexW4244052305MaRDI QIDQ4147101

Maria M. Klawe

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997917

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Means on groups, semigroups, etc.; amenable groups (43A07) Radicals and radical properties of associative rings (16Nxx)

Related Items (9)

Continuity of Arens multiplication on the dual space of bounded uniformly continuous functions on locally compact groups and topological semigroups ⋮ Measurable functionals on function spaces ⋮ MULTIPLIERS ON THE SECOND DUAL OF ABSTRACT SEGAL ALGEBRAS ⋮ Fixed points of non-expansive mappings associated with invariant means in a Banach space ⋮ Banach algebras on semigroups and on their compactifications ⋮ Unnamed Item ⋮ Generalised \(F\)-algebras as predual algebras of \( JBW ^\ast\)-triples and characterisations of the Fourier algebras on locally compact groups ⋮ Amenability properties and fixed point properties of affine representations of semigroups ⋮ The Size of the Set of Left Invariant Means on an Ela Semigroup

Cites Work

• Unnamed Item
• Amenable semigroups
• Uniqueness of the invariant mean on an abelian semigroup
• On amenable semigroups with a finite-dimensional set of invariant means. I, II
• Minimal sets and ergodic measures for \(\beta N/N\)
• The second conjugate space of a Banach algebra as an algebra
• The Exact Cardinality of the Set of Invariant Means on a Group
• Extremely Amenable Semigroups.
• A Theorem on Amenable Semigroups
• Constant Functions and Left Invariant Means on Semigroups
• A Note on the Radical of the Second Conjugate Algebra of a Semigroup Algebra.
• On the Size of the Set of Left Invariant Means on a Semigroup
• Extreme invariant means without minimal support

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