TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES

DOI10.1142/S0129055X99000106zbMath0966.47048arXiv0904.0894MaRDI QIDQ4519802

Camillo Trapani, Fabio Bagarello, Jean-Pierre Antoine

Publication date: 4 December 2000

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0894

zbMATH Keywords

partial \(*\)-algebras of operatorstopological partial \(*\)-algebras

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of topological algebras with involution (46K05)

Related Items (4)

Structure of locally convex quasi \(C^*\)-algebras ⋮ Biweights and \(^{\ast}\)-homomorphisms of partial \(^{\ast}\)-algebras ⋮ Unbounded \(C^*\)-seminorms and \(*\)-representations of partial \(*\)-algebras ⋮ Banach partial \(^*\)-algebras: an overview

Cites Work

• Partial \({}^*\)-algebras of closable operators. I: The basic theory and the abelian case
• Field algebras do not leave field domains invariant
• Algebras of unbounded operators and quantum dynamics
• The completion of the maximal \(Op^ *\)-algebra on a Frechet domain
• Partial *-algebras of closed linear operators in Hilbert space
• Partial inner product spaces and semi-inner product spaces
• Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras
• Partial inner product spaces. I: General properties
• On the regularity of the partial \(O^*\)-algebras generated by a closed symmetric operator
• Quasi *-algebras and multiplication of distributions
• Differentiation and the Balian-Low theorem
• \(L^p\)-spaces as quasi \(^*\)-algebras
• \(CQ^*\)-algebras: Structure properties
• On the mathematical structure of the B.C.S.-model
• Families of \(L_ p\)-spaces with inductive and projective topologies
• Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞}
• Partial inner product spaces. III. Compatibility relations revisited
• Partial inner product spaces. IV. Topological considerations
• Interpolation theory and refinement of nested Hilbert spaces
• Harmonic Analysis on Amalgams of L^P and l^q
• Topological properties of unbounded bicommutants
• QUASI *-ALGEBRAS OF OPERATORS AND THEIR APPLICATIONS
• PARTIAL *-ALGEBRAS OF CLOSABLE OPERATORS: A REVIEW
• The Heisenberg dynamics of spin systems: A quasi*-algebras approach

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