Symmetric closed operators commuting with a unitary type I representation of finite multiplicity are self-adjoint

zbMath0845.46034MaRDI QIDQ1203578

Erik G. F. Thomas

Publication date: 10 February 1993

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

essentially selfadjointdirect integral decompositioncommutative algebras of unbounded invariant operators

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) General theory of von Neumann algebras (46L10) Linear symmetric and selfadjoint operators (unbounded) (47B25) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Decomposition theory for (C^*)-algebras (46L45)

Related Items (2)

Functional analytic aspects of non-commutative harmonic analysis ⋮ Commutativity of invariant differential operators on nilpotent homogeneous spaces with finite multiplicity

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