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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 415 - 431 (17page)
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In this paper we introduce a new class of operators which will be called the class of k-quasi-class A(s, t) operators. We show that an algebraically k-quasi-class A(s, t) operator T is polaroid, has Bishop's property and we prove that Weyl type theorems for k-quasi-class A(s, t) operators. In particular, we prove that if T is algebraically k-quasi-class A(s, t), then the generalized a-Weyl's theorem holds for T. Using these results we show that T satis es generalized the Weyl's theorem if and only if T satis es the generalized Weyl's theorem if and only if T satis es Weyl's theorem. We also examine the hyperinvariant subspace problem for k-quasi-class A(s, t) operators.
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참고문헌 (41)
참고문헌 신청
J. An / 2008 / Weyl's theorem for algebraically quasi-class A operators / Integral Equations Operator Theory 62(1):1~10
A. Aluthge / 1990 / On p-hyponormal operators for 0 < p < 1 / Integral Equations operator theory 13(3):307~315
A. Aluthge / 2000 / ω-hyponormal operators / Integral Equations operator theory 36(1):1~10
P. Aiena / 2004 / Fredholm and local spectral theory, with applications to multipliers / Kluwer Academic Publishers
P. Aiena / 2010 / Weyl type theorems for left and right Polaroid operators / Integral Equations operator theory 66(1):1~20
A. Aluthge / 1990 / On p-hyponormal operators for 0 < p < 1 / Integral Equations operator theory 13(3):307~315
A. Aluthge / 2000 / ω-hyponormal operators / Integral Equations operator theory 36(1):1~10
P. Aiena / 2004 / Fredholm and local spectral theory, with applications to multipliers / Kluwer Academic Publishers
P. Aiena / 2010 / Weyl type theorems for left and right Polaroid operators / Integral Equations operator theory 66(1):1~20
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