Continuity of positive functionals on topological *-algebras

DOI10.1016/0022-247X(82)90107-XzbMath0498.46033OpenAlexW1977053940MaRDI QIDQ5905292

David L. Johnson

Publication date: 1982

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(82)90107-x

zbMATH Keywords

convolutioncompact groupautomatic continuity for positive linear functionalsbarreled locally convex *-algebra which factorspointwise operator bounded approximate identitySchwartz-Bruhat space of complex-valued compactly supported regular functions

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) General theory of topological algebras with involution (46K05) Harmonic analysis on general compact groups (43A77)

Related Items (3)

Hermitian K-theory over topological *-algebras ⋮ Representations of tensor product l.m.c. *-algebras ⋮ Symmetry and \({\mathcal P}\)-commutativity of topological *-algebras

Cites Work

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• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• Factorisation in Fréchet Algebras
• Continuity of Positive Linear Functionals on Banach ^* -Algebras
• A Remark Concerning Multiplicative Functionals on Lmc Algebras
• Locally multiplicatively-convex topological algebras

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