Unbounded \(C^*\)-seminorms and \(*\)-representations of partial \(*\)-algebras

DOI10.4171/ZAA/1017zbMath1004.47049arXiv0904.0895OpenAlexW2963348197MaRDI QIDQ5945528

Camillo Trapani, Atsushi Inoue, Fabio Bagarello

Publication date: 16 January 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0895

zbMATH Keywords

partial *-algebras\(CQ^*\)-algebrasquasi *-algebrasunbounded *-representationsunbounded \(C^*\)-seminormunbounded \(C^*\)-seminorms

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of (C^*)-algebras (46L05) Nonassociative topological algebras with an involution (46K70)

Related Items (6)

Existence of spectral well-behaved \(\ast\)-representations ⋮ Structure of locally convex quasi \(C^*\)-algebras ⋮ Biweights and \(^{\ast}\)-homomorphisms of partial \(^{\ast}\)-algebras ⋮ Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ Existence of well‐behaved ∗︁‐representations of locally convex ∗︁‐algebras

Cites Work

• Unnamed Item
• Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case
• Partial *-algebras of closed linear operators in Hilbert space
• Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras
• TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES
• PARTIAL *-ALGEBRAS OF CLOSABLE OPERATORS: A REVIEW

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