Topologies on BP-algebras

DOI10.1016/0022-247X(89)90064-4zbMath0705.46032MaRDI QIDQ917862

Mark A. Hennings

Publication date: 1989

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

zbMATH Keywords

\(BP^ *\)-algebrabounded hermitian idempotent subsetseach positive functional on a unital barrelled (or Q- ) \(BP^ *\)-algebra is continuouslocally convex \({}^ *\)-algebra

Mathematics Subject Classification ID

General theory of topological algebras (46H05) States of selfadjoint operator algebras (46L30) General theory of topological algebras with involution (46K05)

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Cites Work

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• An elementary proof of a fundamental theorem in the theory of Banach algebras
• Positive functionals on \(BP^*\)-algebras
• Representations of \(MQ^*\)-algebras
• A Spectral Theory for Locally Convex Algebras
• On a Class of Locally Convex Algebras
• Generalized B-Algebras
• Locally multiplicatively-convex topological algebras

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