Unbounded commutants and intertwining spaces of unbounded symmetric operators and *-representations

DOI10.1016/0022-1236(87)90015-2zbMath0624.47016OpenAlexW1979482752MaRDI QIDQ578559

Konrad Schmüdgen

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90015-2

zbMATH Keywords

singular integral operatorsToeplitz operatorsunilateral shift\({}^ *\)-representations of \({}^ *\)-algebrascommutants for an unbounded symmetric operatorintertwining spacesIntertwining spaces

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47) Equations involving linear operators, with operator unknowns (47A62) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Standard partial \(O^*\)-algebras, Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras

Cites Work

• On the algebra of field operators. The weak commutant and integral decompositions of states
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• Unbounded representations of \(^*\)-algebras
• On a certain class of *-algebras of unbounded operators
• Self-adjoint algebras of unbounded operators
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Sur les représentations induites des groupes de Lie
• Ein Zerspal Tungssatz Für Operatoren im Hilbertraum
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