Finite dimensional invariant subspaces for a semigroup of linear operators

DOI10.1016/0022-247X(83)90203-2zbMath0549.43003OpenAlexW1980510073MaRDI QIDQ800597

Anthony To-Ming Lau

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90203-2

zbMATH Keywords

semitopological semigroupinvariant n-dimensional subspaceleft-amenability

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (8)

Finite-dimensional invariant subspaces for measurable semigroups of linear operators ⋮ Invariant subspace theorems for amenable groups ⋮ Common fixed point properties and amenability of a class of Banach algebras ⋮ Asymptotically non-expansive actions of strongly amenable semigroups and fixed points ⋮ Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras ⋮ 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 ⋮ Invariant Subspaces for Algebras of Linear Operators and Amenable Locally Compact Groups

Cites Work

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• Mean value of compact convex sets, Day's fixed point theorem and invariant subspaces
• Invariant means on almost periodic functions and fixed point properties
• Invariant means on locally compact groups
• Topological semigroups and fixed points
• Extremely Amenable Semigroups.
• Topological Semigroups with Invariant Means in the Convex Hull of Multiplicative Means
• Non-Expansive Actions of Topological Semigroups and Fixed Points

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