On commutatively dominated \(Op^*\)-algebras with Fréchet domains

DOI10.1016/0022-247X(91)90103-7zbMath0748.47042MaRDI QIDQ1177010

Klaus-Detlef Kürsten

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

bounded linear functionaluniform topologybornological spacemaximal \(Op^*\)-algebra on a Fréchet domainstrongly commuting essentially self-adjoint operatorsvery continuous operators

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Barrelled spaces, bornological spaces (46A08)

Related Items (2)

On unbounded positive \(^*\)-representations on Fréchet-domains ⋮ An operator-theoretic approach to invariant integrals on quantum homogeneous \(\text{SU}_{n,1}\)-spaces

Cites Work

• Unbounded operator algebras and DF-spaces
• The completion of the maximal \(Op^ *\)-algebra on a Frechet domain
• On topologization of unbounded operator algebras
• Duality for maximal \(Op^*\)-algebras on Fréchet domains
• On a certain class of *-algebras of unbounded operators
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• Two-Sided Closed Ideals of Certain Algebras of Unbounded Operators
• Lokal multiplikativ konvexe Op*-Algebren
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