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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 531 - 540 (10page)
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초록· 키워드
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If T is an unbounded hyponormal operator on an in¯nite dimensional complex Hilbert space H with ½(T) 6= Á, then it is shown that T satis¯esWeyl's theorem, generalized Weyl's theorem, Browder's theorem and generalized Browder's theorem. The equivalence of generalized Weyl's theorem with generalized Browder's theorem, property (gw) with property (gb) and property (w) with property (b) have also been established. It is also shown that a-Browder's theorem holds for T as well as its adjoint T*.
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참고문헌 (15)
참고문헌 신청
A. E. Taylor. / 1980 / Introduction to Functional Analysis, Second Edition / Wiley and sons
D. C. Lay / 1970 / Spectral Analysis Using Ascent, Descent, Nullity and Defect / Math. Ann 184 : 197 ~ 214
H. Weyl / 1909 / AU ber beschrAankte quadatische Formen, deren Di®erenz Vollstetig ist / Rend. Circ. Mat. Palermo 27 : 373 ~ 392
J. K. Finch / 1975 / The Single Valued Extension Property on a Banach Space / Paci?c Journal of Math 58 : 61 ~ 69
L. A. Coburn / 1966 / Weyl's theorem for nonnormal operators / The Michigan Mathematical Journal 13 (3) : 285 ~ 288
D. C. Lay / 1970 / Spectral Analysis Using Ascent, Descent, Nullity and Defect / Math. Ann 184 : 197 ~ 214
H. Weyl / 1909 / AU ber beschrAankte quadatische Formen, deren Di®erenz Vollstetig ist / Rend. Circ. Mat. Palermo 27 : 373 ~ 392
J. K. Finch / 1975 / The Single Valued Extension Property on a Banach Space / Paci?c Journal of Math 58 : 61 ~ 69
L. A. Coburn / 1966 / Weyl's theorem for nonnormal operators / The Michigan Mathematical Journal 13 (3) : 285 ~ 288
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