An application of the projective spectral theorem to commuting families of operators

DOI10.1007/BF01057204zbMath0708.47001OpenAlexW1974028661MaRDI QIDQ920367

Yurii S. Samoilenko, Vasyl L. Ostrovskyĭ

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01057204

zbMATH Keywords

commutation relationsoperator representations of algebraic systemsselfadjoint unbounded operators which are non-commuting but related to a commuting familyspace of Fourier representationspectral projection theorem for commuting families of selfadjoint operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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