Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (6): 1281-1290.
Received:
2018-09-05
Online:
2019-12-26
Published:
2019-12-28
Contact:
Weigang Su
E-mail:chenlh2016@163.com;wgsu@fjnu.edu.cn
Supported by:
CLC Number:
Lihong Chen,Weigang Su. Property (H) and Perturbations[J].Acta mathematica scientia,Series A, 2019, 39(6): 1281-1290.
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1 | Aiena P . Semi-Fredholm Operators, Perturbation Theory and Localized SVEP. Merida:Venezuela, 2007 |
2 | Berkani M , Sarih M . On semi-B-Fredholm operators. Glasgow Mathematical Journal, 2002, 43 (3): 457- 465 |
3 | Coburn L A . Weyl's theorem for nonormal operators. Michigan Mathematical Journal, 1996, 13 (3): 285- 288 |
4 |
Harte R , Lee W Y . Another note on Weyl's theorem. Transactions of the American Mathematical Society, 1997, 349 (5): 2115- 2124
doi: 10.1090/S0002-9947-97-01881-3 |
5 | Berkani M , Koliha J J . Weyl type theorems for bounded linear operators. Acta Scientiarum Mathematicarum, 2003, 69 (1): 359- 376 |
6 |
Amouch M , Zguitti H . On the equivalence of Browder's and generalized Browder's theorem. Glasgow Mathematical Journal, 2006, 48 (1): 179- 185
doi: 10.1017/S0017089505002971 |
7 |
Barnes B A . Riesz points and Weyl's theorem. Integral Equations and Operator Theory, 1999, 34 (2): 187- 196
doi: 10.1007/BF01236471 |
8 | Grabiner S . Uniform ascent and descent of bounded operators. Journal of the Mathematical Society of Japan, 1982, 34: 172- 175 |
9 |
Dounford N . Spectral theory. II. Resolutions of the identity. Pacific Journal of Mathematics, 1952, 2 (4): 559- 614
doi: 10.2140/pjm.1952.2.559 |
10 |
Dounford N . Spectral operators. Pacific Journal of Mathematics, 1954, 4 (3): 321- 354
doi: 10.2140/pjm.1954.4.321 |
11 | Berkani M , Zariouh H . New extended Weyl type theorems. Matematicki Vesnik, 2010, 62 (2): 145- 154 |
12 |
Aiena P , Garcia O . Generalized Browder's theorem and SVEP. Mediterranean Journal of Mathematics, 2007, 4 (2): 215- 228
doi: 10.1007/s00009-007-0113-2 |
13 |
Aiena P , Biondi M T , Villafañe F . Property (w) and perturbations III. Journal of Mathematical Analysis and Applications, 2009, 353 (1): 205- 214
doi: 10.1016/j.jmaa.2008.11.081 |
14 | Zeng Q , Jiang Q , Zhong H . Spectra originated from semi-B-Fredholm theory and commuting perturbations. Studia Mathematica, 2012, 219 (1): 1- 18 |
15 |
Zeng Q , Zhong H . A note on property (gb) and perturbations. Abstract and Applied Analysis, 2012
doi: 10.1155/2012/523986 |
16 |
Zeng Q , Zhong H , Yan K . An extension of a result of Djordjević and its applications. Linear and Multilinear Algebra, 2016, 64 (2): 247- 257
doi: 10.1080/03081087.2015.1034067 |
17 |
Aiena P . Property (w) and perturbations II. Journal of Mathematical Analysis and Applications, 2008, 342 (2): 830- 837
doi: 10.1016/j.jmaa.2007.12.029 |
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