Models of self-adjoint and unitary operators in Pontryagin spaces

DOI10.1007/s10958-024-07186-xMaRDI QIDQ6562955

Vladimir Strauss

Publication date: 27 June 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

self-adjoint operatorunitary operatorPontryagin spaceKrein-Langer representationquasivector

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx) Inner product spaces and their generalizations, Hilbert spaces (46Cxx)

Cites Work

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• Models of function type for commutative symmetric operator families in Krein spaces
• Functional representation of the algebra, generated by a self-adjoint operator in a Pontryagin space
• Classification of normal operators in spaces with indefinite scalar product of rank 2
• On a commutative WJ^*-algebra of D_1^+-class and its bicommutant
• On the weakly closed algebra generated by a unitary operator in a Pontryagin space

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