Decomposability of Krein Space Operators
- Authors
- An, Il Ju; Heo, 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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