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Simultaneously Definitizable and Spectralizable Operators in Krein Space
Author(s) -
Strauss Vladimir
Publication year - 2002
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200211)245:1<167::aid-mana167>3.0.co;2-f
Subject(s) - mathematics , operator (biology) , space (punctuation) , quasinormal operator , spectral properties , pure mathematics , spectrum (functional analysis) , mathematical analysis , finite rank operator , banach space , quantum mechanics , physics , biochemistry , chemistry , linguistics , philosophy , repressor , astrophysics , transcription factor , gene
We study the spectral properties of a self–adjoint operator in Krein space such that one of its natural powers is J –non–negative and some other power is a spectral operator in the Dunford sense.