Topological algebra representations of topological groups

DOI10.1016/0022-247X(80)90272-3zbMath0444.46040MaRDI QIDQ1144767

John Arahovitis

Publication date: 1980

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

zbMATH Keywords

dynamical systemcontinuous group actionnuclearFrechet algebraMontel algebratensor product algebra representationtopological algebra representation of a topological group

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) General groups of measure-preserving transformations (28D15) General theory of topological algebras (46H05) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Representations of topological algebras (46H15) Tensor products in functional analysis (46M05)

Related Items (1)

Vector bundles and K-theory over topological algebras

Cites Work

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• Locally compact transformation groups
• Compact semitopological semigroups and weakly almost periodic functions
• The maximal ideal space of the topological algebra \(C(X,E)\)
• A proof of Beboutov's theorem
• On functional representations of topological algebras
• Représentations de groupes localement compacts
• On the generalized spectra of topological algebras
• Weakly Topologized Algebras
• Produits tensoriels topologiques et espaces nucléaires
• Locally multiplicatively-convex topological algebras

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