INVARIANT MEANS AND ACTIONS OF SEMITOPOLOGICAL SEMIGROUPS ON COMPLETELY REGULAR SPACES AND APPLICATIONS

DOI10.1017/S0004972720000490zbMath1459.43001OpenAlexW3035455506MaRDI QIDQ5147594

Khadime Salame

Publication date: 27 January 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720000490

zbMATH Keywords

semigroupsamenabilityHaar measurefixed point propertiescompletely regular spaces

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Measures on groups and semigroups, etc. (43A05) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

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• Fixed point properties for semigroups of non-expansive mappings in conjugate Banach spaces
• Amenable semigroups
• Fixed point properties of semigroups of non-expansive mappings
• Invariant means on almost periodic functions and fixed point properties
• Invariant means on locally compact groups
• Topological semigroups and fixed points
• A Functional Analysis Proof of the Existence of Haar Measure on Locally Compact Abelian Groups
• A Fixed Point Theorem and the Existence of a Haar Measure for Hypergroups Satisfying Conditions Related to Amenability
• A simple proof of the existence of Haar measure on amenable groups
• Lectures on amenability

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