Fixed point properties of \(C^{*}\)-algebras

DOI10.1016/j.jmaa.2010.08.032zbMath1217.46009arXiv0901.3646OpenAlexW1975817535MaRDI QIDQ601296

W. Fupinwong, Sompong Dhompongsa, Wayne M. Lawton

Publication date: 4 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3646

zbMATH Keywords

weak fixed point property\(C^*\)-algebraprojectionfixed point propertycompact ordinal

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) General theory of (C^*)-algebras (46L05)

Related Items (9)

Nonexpansive mappings on abelian Banach algebras and their fixed points ⋮ On the fixed-point property of unital uniformly closed subalgebras of \(C(X)\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The fixed point property of unital abelian Banach algebras ⋮ Operator version of the best approximation problem in Hilbert \(C^\ast\)-modules ⋮ The fixed point property of a Banach algebra generated by an element with infinite spectrum ⋮ Fixed point property of Hilbert modules over finite dimensional \(\mathrm{C}^*\)-algebras ⋮ Fixed point property for Banach algebras associated to locally compact groups

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