Models of Function Type for Commutative Symmetric Operator Families in Krein Spaces
Author(s) -
Vladimir Strauss
Publication year - 2008
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2008/439781
Subject(s) - mathematics , commutative property , operator (biology) , function space , type (biology) , subspace topology , function (biology) , pure mathematics , mathematical analysis , ecology , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene
Commutative symmetric operator families of the so-called D κ + -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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