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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2006.1
- 수록면
- 553 - 563 (11page)
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초록· 키워드
오류제보하기
Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl
spectrum of A is the set ¾Bw(A) of all ¸ 2 C such that A¡¸I is not a B-Fredholm operator
of index 0. Let E(A) be the set of all isolated eigenvalues of A. Recently in [6] Berkani
showed that if A is a hyponormal operator, then A satisfies generalized Weyl’s theorem
¾Bw(A) = ¾(A) n E(A), and the B-Weyl spectrum ¾Bw(A) of A satisfies the spectral
mapping theorem. In [51], H. Weyl proved that weyl’s theorem holds for hermitian operators.
Weyl’s theorem has been extended from hermitian operators to hyponormal and
Toeplitz operators [12], and to several classes of operators including semi-normal operators
([9], [10]). Recently W. Y. Lee [35] showed that Weyl’s theorem holds for algebraically
hyponormal operators. R. Curto and Y. M. Han [14] have extended Lee’s results to algebraically
paranormal operators. In [19] the authors showed that Weyl’s theorem holds
for algebraically p-hyponormal operators. As Berkani has shown in [5], if the generalized
Weyl’s theorem holds for A, then so does Weyl’s theorem. In this paper all the above results
are generalized by proving that generalizedWeyl’s theorem holds for the case where A
is an algebraically (p; k)-quasihyponormal or an algebarically paranormal operator which
includes all the above mentioned operators.
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참고문헌 (42)
참고문헌 신청
/ / Putnam’s inequality for log-hyponor
/ 1951 / Beitrage zur Strungstheorie der Spektralzerlegung 123 : 415 ~ 438
/ 1966 / Weyl’s theorem for nonnormal operators 13 : 285 ~ 288
/ 1967 / Hyponormal contractions 18 : 137 ~ 141
/ 1969 / An extension of Weyl’s theorem to a class of not necessarily normal 16 : 273 ~ 279562
/ 1951 / Beitrage zur Strungstheorie der Spektralzerlegung 123 : 415 ~ 438
/ 1966 / Weyl’s theorem for nonnormal operators 13 : 285 ~ 288
/ 1967 / Hyponormal contractions 18 : 137 ~ 141
/ 1969 / An extension of Weyl’s theorem to a class of not necessarily normal 16 : 273 ~ 279562
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