## Abstract and Applied Analysis

### Models of Function Type for Commutative Symmetric Operator Families in Krein Spaces

#### Abstract

Commutative symmetric operator families of the so-called ${D}_{\kappa}^{+}$-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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2008 (2008), Article ID 439781, 40 pages.

Dates
First available in Project Euclid: 9 September 2008

https://projecteuclid.org/euclid.aaa/1220969164

Digital Object Identifier
doi:10.1155/2008/439781

Mathematical Reviews number (MathSciNet)
MR2407277

Zentralblatt MATH identifier
1167.47032

#### Citation

Strauss, Vladimir. Models of Function Type for Commutative Symmetric Operator Families in Krein Spaces. Abstr. Appl. Anal. 2008 (2008), Article ID 439781, 40 pages. doi:10.1155/2008/439781. https://projecteuclid.org/euclid.aaa/1220969164

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