Finite-dimensional invariant subspace property and amenability for a class of Banach algebras

DOI10.1090/TRAN/6442zbMath1376.46036arXiv1404.3405OpenAlexW1787472029MaRDI QIDQ2790607

Anthony To-Ming Lau, Yong Zhang

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3405

zbMATH Keywords

quantum groupinvariant meanfixed point propertyideal\(F\)-algebramodule morphismHopf von Neumann algebrafinite invariant subspace

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Structure, classification of topological algebras (46H20) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (11)

Weakly compact multipliers and \(\varphi\)-amenable Banach algebras ⋮ How the norm one positive definite functions determine a finite group ⋮ Asymptotically non-expansive actions of strongly amenable semigroups and fixed points ⋮ Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras ⋮ 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 ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings ⋮ Invariant Subspaces for Algebras of Linear Operators and Amenable Locally Compact Groups ⋮ Weakly almost periodic functionals on certain Banach algebras ⋮ Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces ⋮ Amenability and Hahn-Banach extension property for set valued mappings

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