Decomposition of positive functionals of commutative *-algebras

DOI10.1007/BF01066468zbMath0653.46056OpenAlexW2067909802MaRDI QIDQ1107794

Vladislav S. Yakovlev, Yurij M. Berezansky, Gerd Lassner

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01066468

zbMATH Keywords

commutative nuclear topological *-algebra with unitintegral representation of positive functionals

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Algebras of unbounded operators; partial algebras of operators (47L60) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Structure and classification of commutative topological algebras (46J40)

Cites Work

• On the algebra of field operators. The weak commutant and integral decompositions of states
• Integral representations for Schwinger functionals and the moment problem over nuclear spaces
• Extremal decomposition of Wightman functions and of states on nuclear \(^*\)-algebras by Choquet theory
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators

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