Invariant subspace theorems for amenable groups

DOI10.1017/S0013091500004673zbMath0703.47004MaRDI QIDQ3482382

James C. S. Wong, Alan L. T. Paterson, Anthony To-Ming Lau

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

characterization of amenable groups of operatorsexistence of positive invariant subspaces for certain classes of operators acting in Krein spacesreduced Ky Fan systems

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Invariant subspaces of linear operators (47A15)

Related Items (4)

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 ⋮ Finite-dimensional invariant subspace property and amenability for a class of Banach algebras ⋮ Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings

Cites Work

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• Finite dimensional invariant subspaces for a semigroup of linear operators
• Finite-dimensional invariant subspaces for measurable semigroups of linear operators
• Invariant cross-sections and invariant linear subspaces
• Moyennes invariantes et représentations unitaires
• On an application of the fixed-point principle in the theory of linear transformations of spaces with an indefinite metric
• Invariant subspaces of certain linear operators

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