文献类型：期刊文献

英文题名：SPECTRUM OF CLASS ABSOLUTE -*-k-PARANORMAL OPERATORS FOR 0 <= k <= 1

作者：Yang, Changsen[1];Shen, Junli[2]

第一作者：Yang, Changsen

通讯作者：Yang, CS[1]

机构：[1]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China;[2]Xinxiang Univ, Dept Math, Xinxiang 453000, Peoples R China

第一机构：Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

通讯机构：[1]corresponding author), Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China.

年份：2013

卷号：27

期号：4

起止页码：671-678

外文期刊名：FILOMAT

收录：;Scopus(收录号：2-s2.0-84880089540);WOS:【SCI-EXPANDED(收录号:WOS:000322037500017)】；

基金：Research Supported by the National Natural Science Foundation of P.R.China(11271112; 11201127), Innovation Scientists and Technicians Troop Construction Projects of Henan Province(114200510011), Technology and Pioneering project in Henan province( 122300410110).

语种：英文

外文关键词：absolute-*-k-paranormal operators; approximate point spectrum; joint approximate point spectrum; point spectrum; joint point spectrum

摘要：In this paper, we shall introduce a new class absolute-*-k-paranormal operators given by a norm inequality and *-A(k)operator by operator inequality, we will discuss the inclusion relation of them. And we study spectral properties of class absolute-*-k-paranormal operators. We show that if T belongs to class absolute-*-k-paranormal operators, then its point spectrum and joint point spectrum are identical, its approximate point spectrum and joint approximate point spectrum are identical. Next as an application of them, for Weyl spectrum w(.) and essential approximate point spectrum sigma(ea)(.), we will show that if T or T* is absolute-*-k-paranormal for 0 <= k <= 1, then w(f(T)) = f (w(T)), sigma(ea)(f (T)) = f (sigma(ea)(T)) for every f. H(sigma(T)) where H(sigma(T)) denotes the set of all analytic functions on an open neighborhood of sigma(T).