Representations of some commutative nuclear *-algebras

DOI10.1007/BF01057505zbMath0645.47040MaRDI QIDQ1103173

Vladislav S. Yakovlev

Publication date: 1987

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

multiplicationinvolutiondirect integralcommutative topological *-algebranuclear locally convex separable spacenuclear quasianalytical algebraquasianalytical elementsstrongly continuous irreducible representation

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60) General theory of (C^*)-algebras (46L05)

Related Items (2)

Representations of certain *-algebras of smooth functions ⋮ Standardness of \({}^*\)-representations of the algebra of smooth finite functions

Cites Work

• Projective spectral theorem
• On the algebra of field operators. The weak commutant and integral decompositions of states
• Quasi-analytic vectors
• Self-adjoint algebras of unbounded operators
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