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2008 Models of Function Type for Commutative Symmetric Operator Families in Krein Spaces
Vladimir Strauss
Abstr. Appl. Anal. 2008: 1-40 (2008). DOI: 10.1155/2008/439781

Abstract

Commutative symmetric operator families of the so-called D κ + -class are considered in Krein spaces. It is proved that the restriction of a family of this type on a special kind of invariant subspace is similar to a family of operators adjoint to multiplication operators by scalar functions acting on a suitable function space.

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Vladimir Strauss. "Models of Function Type for Commutative Symmetric Operator Families in Krein Spaces." Abstr. Appl. Anal. 2008 1 - 40, 2008. https://doi.org/10.1155/2008/439781

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Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1167.47032
MathSciNet: MR2407277
Digital Object Identifier: 10.1155/2008/439781

Rights: Copyright © 2008 Hindawi

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