文献类型：期刊文献

英文题名：On Operators Satisfying T*|T-2|T >= T*|T*|T-2

作者：Shen, Jun Li[1];Zuo, Fei[2];Sen Yang, Chang[2]

第一作者：申俊丽

通讯作者：Shen, JL[1]

机构：[1]Xinxiang Univ, Dept Math, Xinxiang 453000, Peoples R China;[2]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 4530007, Peoples R China

第一机构：新乡学院数学与信息科学学院

通讯机构：[1]corresponding author), Xinxiang Univ, Dept Math, Xinxiang 453000, Peoples R China.|[1107121]新乡学院数学与信息科学学院;[11071]新乡学院;

年份：2010

卷号：26

期号：11

起止页码：2109-2116

外文期刊名：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000282428100007)】；

基金：Supported by Science Foundation of Ministry of Education of China (Grant No. 208081)

语种：英文

外文关键词：l-*-A; point spectrum; joint point spectrum; alpha-Browder's theorem

摘要：Let T be a bounded linear operator on a complex Hilbert space H. In this paper we introduce a new class denoted by l-*-A, of operators satisfying T*|T (2)|T >= T*|T*|(2) T, and we prove the basic properties of these operators. Using these results, we also prove that if T or T* is an element of l-*-A, then w(f(T)) = f(w(T)), sigma(ea)(f(T)) = f(sigma(ea)(T)) for every f a H(sigma(T)), where H(sigma(T)) denotes the set of all analytic functions on an open neighborhood of sigma(T).