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Decomposability of Krein Space Operators

Authors
An, Il JuHeo, Jaeseong
Issue Date
2020
Publisher
UNIV NIS, FAC SCI MATH
Keywords
Krein space operator; Single valued extension property; property (β); Dunford’s property (C); decomposable; strongly decomposable; quasi-decomposable; analytically decomposable
Citation
FILOMAT, v.34, no.9, pp.3119 - 3129
Indexed
SCIE
SCOPUS
Journal Title
FILOMAT
Volume
34
Number
9
Start Page
3119
End Page
3129
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/146522
DOI
10.2298/FIL2009119A
ISSN
0354-5180
Abstract
In this paper, we review some properties in the local spectral theory and various subclasses of decomposable operators. We prove that every Krein space selfadjoint operator having property (beta) is decomposable, and clarify the relation between decomposability and property (beta) for J-selfadjoint operators. We prove the equivalence of these properties for J-selfadjoint operators T and T* by using their local spectra and local spectral subspaces.
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