Unbounded operator algebras and DF-spaces

DOI10.2977/prims/1195184394zbMath0567.47040OpenAlexW1973956718MaRDI QIDQ1059838

Jean-Paul Jurzak

Publication date: 1981

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/1195184394

zbMATH Keywords

Fréchet spaces*-algebrasalgebra of all bounded operators of \(C^*\)-algebrascontinuous sesquilinear formsDF-spacesexplicit description of the dualnormality of the positive cone

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Locally convex Fréchet spaces and (DF)-spaces (46A04) Topological (rings and) algebras with an involution (46K99)

Related Items (4)

On bounded part of an algebra of unbounded operators ⋮ On commutatively dominated \(Op^*\)-algebras with Fréchet domains ⋮ Spatiality of derivations of Fréchet GB$^{*}$-algebras ⋮ Duality for maximal \(Op^*\)-algebras on Fréchet domains

Cites Work

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• Simple facts about algebras of unbounded operators
• Positive linear functionals on \(^ *\)-algebras of unbounded operators
• Ordered linear spaces
• The quantum problem of moments. II
• Self-adjoint algebras of unbounded operators
• Produits tensoriels topologiques et espaces nucléaires

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