Projective spectral theorem

DOI10.1007/BF01059705zbMath0589.47020MaRDI QIDQ1074084

Yurij M. Berezansky

Publication date: 1985

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

zbMATH Keywords

commutative Banach algebrasrigged Hilbert spaceexistence of sufficiently good spectral representations of aexistence of sufficiently good spectral representations of a family of commuting normal operatorsfamily of commuting normal operatorsnuclear spectral theoremprojection spectral theorem

Mathematics Subject Classification ID

Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem ⋮ Stochastic operator integrals ⋮ Representations of some commutative nuclear *-algebras ⋮ Solution of the Cauchy problem for the semi-infinite Toda lattice in the class of Hilbert-Schmidt operators ⋮ An application of the projective spectral theorem to commuting families of operators ⋮ Spectral analysis of a class of Schrödinger difference operators ⋮ On the global solvability of the Cauchy problem for an infinite system of differential equations ⋮ A measure-theoretical approach to the nuclear and inductive spectral theorems

Cites Work

• The spaces of trial and generalized functions of infinite number of variables
• A remark on Berezanskiĭ version on spectral theorem
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