Banach代数■中元素的广义谱理论  

Generalized Spectrum theory of The Element of Banach Algebra

作　　者：靳永军[1] 任林源[1] 

机构地区：[1]西安工业大学理学院,西安710021

出　　处：《西安工业大学学报》2013年第1期11-13,共3页Journal of Xi’an Technological University

基　　金：陕西省科技厅自然科学专项基金(09JK494);西安工业大学校长科研基金(XAGDXJJ0930)

摘　　要：文中利用非标准分析,给出一种构造Banach代数的方法,并讨论其元素的谱理论,最后由Banach代数的广义逆出发,给出Banach代数中元素的广义谱的定义,并对其性质进行了简单研究.By using the nonstandard analysis, a method for constructing the banach algebra is prsented. Then we discuss the spectrum of the elements of Banach algebra which is constructed by using the nonstandard hull method is discussed. Finally, on the basis of generalized reversible, generalized spectrum of elemer t in Banach algebra is defined with its basic properties studied.

关 键 词：BANACH代数 非标准包 广义逆 广义谱 

分 类 号：O141.41[理学—数学]