Separable translation-invariant subspaces of M(G) and other dual spaces on locally compact groups

A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted $L^{p}$ spaces on locally compact abelian groups, for even weights and $1 < p < \infty$ .

Invariant subspaces for some operators on locally convex spaces

Edvard Kramar (1997)

Commentationes Mathematicae Universitatis Carolinae

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The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.

Invariant means on vector-valued functions II

T. Husain, James C. S. Wong (1973)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On finite same-invariant linear groups.

Kushpel', N.N. (2005)

Journal of Mathematical Sciences (New York)

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