States and\( ^ *\)-representations. I

DOI10.1007/BF01848645zbMath0624.46035OpenAlexW4237739747MaRDI QIDQ578545

Zoltán Sebestyén

Publication date: 1986

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01848645

zbMATH Keywords

semigroupstatecompletely positive maps\(C^ *\)-seminorm\(S^ *\)-algebraSchwartz map

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30) General theory of topological algebras with involution (46K05) Ideals and subalgebras (46H10)

Related Items

States and *-representations. II, Functional analysis - 3, On symmetric algebras

Cites Work

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• On representability of linear functionals on *-algebras
• Every \(C^*\)-seminorm is automatically submultiplicative
• The reducing ideal is a radical
• Completely Positive Maps on U ∗ -Algebras
• Positive Functions on C ∗ -Algebras