Abstract and Applied Analysis
Volume 2008 (2008), Article ID 439781, 40 pages
doi:10.1155/2008/439781

Models of function type for commutative symmetric operator families in Krein spaces

Abstract

Commutative symmetric operator families of the so-called Dκ+-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.