PARTIAL *-ALGEBRAS OF CLOSABLE OPERATORS: A REVIEW
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Publication:4888617
DOI10.1142/S0129055X96000020zbMath0857.47029MaRDI QIDQ4888617
Camillo Trapani, Atsushi Inoue, Jean-Pierre Antoine
Publication date: 10 March 1997
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
normalityextendabilityorder structurepartial \(GW^*\)-algebraspartial \(O^*\)-algebrasgeneralized Gel'fand-Naimark-Segal constructionpartial *-algebras of closable operators in Hilbert spacepositive sesquilinear form
Algebras of unbounded operators; partial algebras of operators (47L60) Linear spaces of operators (47L05) General theory of topological algebras with involution (46K05)
Related Items (17)
TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES ⋮ The Heisenberg dynamics of spin systems: A quasi*-algebras approach ⋮ O* - Dynamical Systems and * - Derivations of Unbounded Operator Algebras ⋮ Unnamed Item ⋮ On Hansen's version of spectral theory and the Moyal product ⋮ Extension of representations in quasi *-algebras ⋮ Structure of locally convex quasi \(C^*\)-algebras ⋮ Biweights on partial *-algebras ⋮ Biweights and \(^{\ast}\)-homomorphisms of partial \(^{\ast}\)-algebras ⋮ Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review ⋮ On representations of partial *-algebras based on \(\mathfrak B\)-weights ⋮ Unbounded \(C^*\)-seminorms and \(*\)-representations of partial \(*\)-algebras ⋮ Trace representation of weights on partial O\(^{*}\)-algebras ⋮ Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras ⋮ Radon--Nikodým theorem for biweights and regular biweights on partial *-algebras ⋮ Partial *-algebras of distributions ⋮ Unnamed Item
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