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Weyl Type Theorems for Selfadjoint Operators on Krein Spaces
- An, Il Ju;
- Heo, Jaeseong
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8초록
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.
키워드
Krein space; J-kernel; J-Fredholm index; essential spectrum; J-Weyl spectrum; J-Browder spectrum; J-Weyl's theorem; J-Browder's theorem
- 제목
- Weyl Type Theorems for Selfadjoint Operators on Krein Spaces
- 저자
- An, Il Ju; Heo, Jaeseong
- 발행일
- 2018-00
- 유형
- Article
- 저널명
- Filomat
- 권
- 32
- 호
- 17
- 페이지
- 6001 ~ 6016