On Inner Characterizations of Aõ-Algebras and some Applications to Calkin Algebras and Symmetric Tensor-Algebras

DOI10.1002/mana.3211480116zbMath0733.47040OpenAlexW2034931621MaRDI QIDQ3359264

Frank Löffler, Gerald Hofmann

Publication date: 1990

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3211480116

zbMATH Keywords

\(\tilde O^*\)-topologiesSpacefree characterizations of \(A\tilde O^*\)-algebrassymmetric tensor-algebrasunbounded Calkin algebras

Mathematics Subject Classification ID

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

Cites Work

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• On the structure of the state space of maximal \(Op^*\)-algebras
• Graded and filtrated topological *-algebras. I: Graded normal topologies
• The completion of the maximal \(Op^ *\)-algebra on a Frechet domain
• Topological realizations of Calkin algebras on Fréchet domains of unbounded operator algebras
• Axioms for Euclidean Green's functions. II
• The order structure of topological \(^*\)-algebras of unbounded operators. I
• Necessary and sufficient conditions for integral representations of Wightman functional at Schwinger points
• On trace representation of linear functionals on unbounded operator algebras
• Singular states on maximal \(Op^ *\)-algebras
• Axioms for Euclidean Green's functions
• Topological algebras of operators
• On structure of the algebra of field operators
• Ideals in Algebras of Unbounded Operators

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