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Transport Theory and Statistical Physics Volume 26, 1997 - Issue 1-2
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Original Articles

The generalization and applications of Kato's perturbation theorem

Wang Wenlong Department of Mathematics, Shangrao, Teacher's College, Jiangxi Shangrao, 334001, P.R. China
&
Yang Mingzhu China Institute of Atomic Energy, P.O. Box 275-18, Beijing, 102413, P.R. China
Pages 221-231 | Received 01 Feb 1996, Accepted 02 Jul 1996, Published online: 20 Aug 2006
 
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Abstract

In this paper we generalize Kato's perturbation theory to weakly compact perturbations. As applications of this theory, we discuss the distribution of the essential spectrum of linear transport operators.

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