A characterization of \(C^*\)-algebras via positive operators

DOI10.1007/BF01194415zbMath0659.46051OpenAlexW2035679295MaRDI QIDQ1112297

Hermann Render

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194415

zbMATH Keywords

\(C^*\)-algebraoperator normisometric involutionRusso-Dye theoremlinear unital positive operator

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) General theory of topological algebras with involution (46K05)

Cites Work

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• Every \(C^*\)-seminorm is automatically submultiplicative
• A note on unitary operators in \(C^ *\)-algebras
• Banach algebras with involution
• Multiplicative and extreme positive operators
• An order-theoretic approach to involutive algebras
• Automatic continuity of positive functionals on topological involution algebras
• Continuity for linear maps on Banach algebras

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