Invariant Subspaces for Algebras of Linear Operators and Amenable Locally Compact Groups

DOI10.2307/2047227zbMath0645.43002OpenAlexW4252598474MaRDI QIDQ3788471

James C. S. Wong, Anthony To-Ming Lau

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047227

zbMATH Keywords

measure algebragroup algebralocally compact groupFourier algebraFourier-Stieltjes algebraBanach *-algebrasleft amenabilityF-algebrastopological left invariant meaninvariant subspace propertylocally convex representation spaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Means on groups, semigroups, etc.; amenable groups (43A07) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

Configurations and invariant nets for amenable hypergroups and related algebras ⋮ Common fixed point properties and amenability of a class of Banach algebras ⋮ On the maximal and minimal left ideals of certain Banach algebras on locally compact groups ⋮ 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 ⋮ Amenability properties of unitary co-representations of locally compact quantum groups ⋮ Strongly amenable involutive representations of involutive Banach algebras ⋮ Finite-dimensional left ideals in the duals of introverted spaces ⋮ Weakly almost periodic functionals on certain Banach algebras ⋮ Hypergroups and invariant complemented subspaces

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