Models of Function Type for Commutative Symmetric Operator Families in Krein Spaces
Vladimir Strauss
Source: Abstr. Appl. Anal. Volume 2008 (2008), 40 pages.
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.
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Permanent link to this document: http://projecteuclid.org/euclid.aaa/1220969164
Digital Object Identifier: doi:10.1155/2008/439781
Mathematical Reviews number (MathSciNet):
MR2407277
Zentralblatt MATH identifier:
05313182
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Abstract and Applied Analysis
