On a certain class of *-algebras of unbounded operators

DOI10.2977/prims/1195183293zbMath0511.47029OpenAlexW2240073683MaRDI QIDQ1838695

Jean-Paul Jurzak, Huzihiro Araki

Publication date: 1982

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/1195183293

zbMATH Keywords

normalityvon Neumann algebrasorder convexorder structure*-algebras of unbounded operators on a Hilbert spacebounded operator elementscountable sum of vector statesinductive limit of the order normstructure of the commutant and the bicommutant

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60)

Related Items (12)

The completion of the maximal \(Op^ *\)-algebra on a Frechet domain ⋮ Commutants of a family of operators on a partial inner product space ⋮ V*-algebras: A particular class of unbounded operator algebras ⋮ \(Qu^*\)-algebras and twisted product ⋮ On bounded part of an algebra of unbounded operators ⋮ Tensor products of unbounded operator algebras ⋮ Some unbounded commutants of a set of operators on a partial inner product space ⋮ On commutatively dominated \(Op^*\)-algebras with Fréchet domains ⋮ Unbounded commutants and intertwining spaces of unbounded symmetric operators and *-representations ⋮ Spatiality of derivations of Fréchet GB$^{*}$-algebras ⋮ Duality for maximal \(Op^*\)-algebras on Fréchet domains ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Topological aspects of algebras of unbounded operators
• Ordered linear spaces
• Self-adjoint algebras of unbounded operators
• La dualité dans les espaces \((\mathcal F)\) et \((\mathcal{LF})\)
• La dualité dans les espaces vectoriels topologiques

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