Abstract and Applied Analysis
Volume 2008 (2008), Article ID 439781, 40 pages
Research Article

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

Vladimir Strauss

Departmento de Matemáticas Puras y Aplicadas, Universidad Simón Bolívar, Apartado 89.000, Caracas 1080-A, Venezuela

Received 26 April 2007; Revised 18 July 2007; Accepted 20 August 2007

Academic Editor: Stephen Clark

Copyright © 2008 Vladimir Strauss. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.