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

Author:

Strauss Vladimir1

Affiliation:

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

Abstract

Commutative symmetric operator families of the so-calledDκ+-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.

Funder

Fondo Nacional de Ciencia, Tecnología e Innovación, Venezuela

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Reference46 articles.

1. Itogi Nauki i Tekhniki,1979

2. Mathematical Research,1982

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