New proof of Naimark's theorem on the existence of nonpositive invariant subspaces for commuting families of unitary operators in Pontryagin spaces

DOI10.1007/BF01302935zbMath0713.47035OpenAlexW374529905MaRDI QIDQ749852

Zoltán Sasvári

Publication date: 1990

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178466

zbMATH Keywords

Naimark's theorem on the existence of nonpositive invariant subspaces for commuting families of unitary operators in Pontryagin spaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on spaces with an indefinite metric (47B50)

Related Items (2)

Infinite dimensional representations of orthogonal groups of quadratic forms with finite index ⋮ Hyperbolic spaces, principal series, and \({\text{O}}(2,\infty )\)

Cites Work

• Sequences with finitely many negative squares
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