The completion of the maximal \(Op^ *\)-algebra on a Frechet domain

DOI10.2977/prims/1195178378zbMath0607.47043OpenAlexW2128957345MaRDI QIDQ1085419

Klaus-Detlef Kürsten

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178378

zbMATH Keywords

graph topologypartial *-algebrasFréchet spacecounterexample to the distributivity property of closed operatorsOp\({}^ *\)-algebraordered locally convex space with an involution

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces of linear operators; topological tensor products; approximation properties (46A32) Ordered topological linear spaces, vector lattices (46A40)

Related Items (17)

TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES ⋮ Bounded elements of C\(^\ast\)-inductive locally convex spaces ⋮ Singular perturbations and operators in rigged Hilbert spaces ⋮ Partial *-algebras and Volterra convolution of distribution kernels ⋮ On unbounded positive \(^*\)-representations on Fréchet-domains ⋮ Quasi *-algebras and multiplication of distributions ⋮ Two-Sided Closed Ideals of Certain Algebras of Unbounded Operators ⋮ \(Qu^*\)-algebras and twisted product ⋮ On commutatively dominated \(Op^*\)-algebras with Fréchet domains ⋮ Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras ⋮ On representations of partial *-algebras based on \(\mathfrak B\)-weights ⋮ On Inner Characterizations of Aõ-Algebras and some Applications to Calkin Algebras and Symmetric Tensor-Algebras ⋮ Unnamed Item ⋮ Duality for maximal \(Op^*\)-algebras on Fréchet domains ⋮ Unnamed Item ⋮ Trace representation of weights on algebras of unbounded operators ⋮ Partial *-algebras of distributions

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