广义Kato分解与Weyl型定理

Abstract

CLC Number:

O177.2

Lihong Chen,Weigang Su. Generalized Kato Decomposition and Weyl Type Theorems[J].Acta mathematica scientia,Series A, 2019, 39(3): 417-422.

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References 8

1	Aiena P. Semi-Fredholm Operators, Perturbation Theory and Localized SVEP. Merida: Venezuela, 2007
2	Dounford N . Spectral theory. Ⅱ. Resolutions of the identity. Pacific Journal of Mathematics, 1952, 2 (4): 559- 614 doi: 10.2140/pjm
3	Dounford N . Spectral operators. Pacific Journal of Mathematics, 1954, 4 (3): 321- 354 doi: 10.2140/pjm
4	Coburn L A . Weyl's theorem for nonnormal operators. Michigan Mathematical Journal, 1966, 13 (3): 285- 288 doi: 10.1307/mmj/1031732778
5	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
6	Koliha J J . A generalized Drazin inverse. Glasgow Mathematcial Journal, 1996, 38 (3): 367- 381 doi: 10.1017/S0017089500031803
7	江樵芬.两类算子与局部谱理论[D].福州:福建师范大学, 2010
	Jiang Q F. Two Classes of Operators and Local Spectral Theory[D]. Fuzhou: Fujian Normal University, 2010
8	Grabiner S . Uniform ascent and descent of bounded operators. Journal of the Mathematical Society of Japan, 1982, 34 (2): 172- 175

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Generalized Kato Decomposition and Weyl Type Theorems

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