Locally convex quasi \(^*\)-algebras with sufficiently many \(^*\)-representations

DOI10.1016/J.JMAA.2011.11.013zbMath1257.47073OpenAlexW2050532552MaRDI QIDQ663669

Camillo Trapani, Salvatore Triolo, Maria Fragoulopoulou

Publication date: 27 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.013

zbMATH Keywords

bounded elementfully representable quasi \(^*\)-algebraquasi \(^*\)-algebrarepresentable linear functional

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Topological algebras of operators (46H35)

Related Items (12)

Bounded elements of C\(^\ast\)-inductive locally convex spaces ⋮ Locally convex quasi C^*-algebras and noncommutative integration ⋮ Singular perturbations and operators in rigged Hilbert spaces ⋮ Extensions of representable positive linear functionals to unitized quasi *-algebras ⋮ Locally convex quasi *-algebras of operators ⋮ Representable and continuous functionals on Banach quasi \(*\)-algebras ⋮ Topological aspects of quasi \(^\ast\)-algebras with sufficiently many \(^\ast\)-representations ⋮ On some applications of representable and continuous functionals of Banach quasi \(^\ast \)-algebras ⋮ Applications of Generalized B∗-Algebras to Quantum Mechanics ⋮ Extensions of the noncommutative integration ⋮ Tensor products of normed and Banach quasi \(^*\)-algebras ⋮ Unbounded derivations and \(^*\)-automorphisms groups of Banach quasi \(^*\)-algebras

Cites Work

• Locally convex quasi *-algebras of operators
• Structure of locally convex quasi \(C^*\)-algebras
• Locally convex quasi \(C^{*}\)-normed algebras
• Algebras of unbounded operators and quantum dynamics
• A strict Positivstellensatz for the Weyl algebra
• Unbounded \(C^{\ast}\)-seminorms, biweights, and \(^{\ast}\)-representations of partial \(^{\ast}\)-algebras: A review
• Unbounded \(C^*\)-seminorms and biweights on partial *-algebras
• QUASI *-ALGEBRAS OF OPERATORS AND THEIR APPLICATIONS
• Bounded elements in certain topological partial^*-algebras
• ^*-Representations, seminorms and structure properties of normed quasi^*-algebras
• Bounded elements and spectrum in Banach quasi^*-algebras
• A Spectral Theory for Locally Convex Algebras
• An Algebraic Approach to Quantum Field Theory
• Unbounded \(C^*\)-seminorms and \(*\)-representations of partial \(*\)-algebras
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