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Weyl Type Theorems for Selfadjoint Operators on Krein Spacesopen access
- Authors
- An, Il Ju; Heo, Jaeseong
- Issue Date
- 2018
- Publisher
- UNIV NIS, FAC SCI MATH
- Keywords
- Krein space; J-kernel; J-Fredholm index; essential spectrum; J-Weyl spectrum; J-Browder spectrum; J-Weyl' s theorem; J-Browder' s theorem
- Citation
- FILOMAT, v.32, no.17, pp.6001 - 6016
- Indexed
- SCIE
SCOPUS
- Journal Title
- FILOMAT
- Volume
- 32
- Number
- 17
- Start Page
- 6001
- End Page
- 6016
- ISSN
- 0354-5180
- Abstract
- In this paper, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss when (a-)J-Weyl's theorem or (a-)J-Browder's theorem holds for bounded linear operators on a Krein space instead of a Hilbert space.
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Related Researcher
- Heo, Jae seong
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)