On topologization of unbounded operator algebras

DOI10.1016/0034-4877(80)90004-XzbMath0475.47030OpenAlexW2074788100MaRDI QIDQ1159876

Konrad Schmüdgen

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90004-x

zbMATH Keywords

0p*-algebra

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) General theory of (C^*)-algebras (46L05)

Related Items (8)

The completion of the maximal \(Op^ *\)-algebra on a Frechet domain ⋮ On unbounded positive \(^*\)-representations on Fréchet-domains ⋮ \(Qu^*\)-algebras and twisted product ⋮ Sequences of normal states on maximal \(Op^*\)-algebras ⋮ On commutatively dominated \(Op^*\)-algebras with Fréchet domains ⋮ A different approach to unbounded operator algebras ⋮ Singular states on maximal \(Op^ *\)-algebras ⋮ Duality for maximal \(Op^*\)-algebras on Fréchet domains

Cites Work

• The order structure of topological \(^*\)-algebras of unbounded operators. I
• Topological aspects of algebras of unbounded operators
• On trace representation of linear functionals on unbounded operator algebras
• Ordered linear spaces
• Topological algebras of operators
• On the algebra of test functions for field operators. Decomposition of linear functionals into positive ones
• Two theorems about topologies on countably generatedOp*-algebras
• Über die Realisierbarkeit topologischer Tensoralgebren Dem, 25. Jahrestag der DDE gewidmet
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