Definitizing polynomials of unitary and Hermitian operators in Pontrjagin spaces

DOI10.1007/BF01444532zbMath0694.47018OpenAlexW2087295143WikidataQ124629934 ScholiaQ124629934MaRDI QIDQ909212

Zoltán Sasvári, Heinz K. Langer

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164734

zbMATH Keywords

Hermitian operatorunitary operatorPontryagin spacesessentially selfadjoint operator\(\pi _ k\)-spacedefinitizing functionsdefinitizing polynomial

Mathematics Subject Classification ID

Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Functional calculus for definitizable self-adjoint linear relations on Krein spaces

Cites Work

• Indefinite functions on commutative groups
• Sequences with finitely many negative squares
• Functions with a finite number of negative squares on semigroups
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• A Class of Polynomials in Self-Adjoint Operators in Spaces with an Indefinite Metric
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