Components of generalized Kato resolvent set and single-valued extension property

作     者：Qiaofen JIANG Huaijie ZHONG 

作者机构：School of Mathematics and Computer ScienceFujian Normal UniversityFuzhou 350007China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2012年第7卷第4期

页      面：695-702页

核心收录：

学科分类：07[理学] 08[工学] 080203[工学-机械设计及理论] 070104[理学-应用数学] 0802[工学-机械工程] 0701[理学-数学] 

基　　金：This work was supported in part by the National Natural Science Foundation of China (Grant No. 11171066)  the Natural Science Foundation of Fujian Province (Grant No. 2011J05002)  and the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos. 2010350311001 and 20113503120003) 

主　　题：Banach space generalized Kato decomposition single-valued extension property 

摘      要：In this paper, we use the constancy of certain subspace valued mappings on the components of the generalized Kato resolvent set and the equivalences of the single-valued extension property at a point 0 for operators which admit a generalized Kato decomposition to obtain a classification of the components of the generalized Kato resolvent set of operators. We also give some applications of these results