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A note on Weyl's theorem

Author(s): Xiaohong Cao; Maozheng Guo; Bin Meng
Journal: Proc. Amer. Math. Soc. 133 (2005), 2977-2984.
MSC (2000): Primary 47A10, 47A53, 47A55
Posted: May 13, 2005
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Abstract: The Kato spectrum of an operator is deployed to give necessary and sufficient conditions for Browder's theorem to hold.

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Additional Information:

Xiaohong Cao
Affiliation: College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, People's Republic of China
Email: xiaohongcao@snnu.edu.cn

Maozheng Guo
Affiliation: Department of Mathematics, Peking University, Beijing, 100871, People's Republic of China

Bin Meng
Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, People's Republic of China

DOI: 10.1090/S0002-9939-05-07676-8
PII: S 0002-9939(05)07676-8
Keywords: Browder's theorem, a-Browder's theorem, Weyl's theorem, a-Weyl's theorem
Received by editor(s): June 3, 2003
Received by editor(s) in revised form: February 4, 2004
Posted: May 13, 2005
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2005, American Mathematical Society

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Xiaohong Cao Maozheng Guo Meng Bin, A Note on Weyl's theorem, Proceedings of American Mathematical Society (10) 133 (2005), 2977-2984.

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