一类算子方程的正算子解的刻画  

Characterization of the Positive Operator Solutions to a Class of Operator Equation

作　　者：杨凯凡[1] 

机构地区：[1]陕西理工学院数学系,陕西汉中723001

出　　处：《内江师范学院学报》2008年第8期22-24,共3页Journal of Neijiang Normal University

基　　金：陕西理工学院基金项目(SLGQD0517)

摘　　要：在无限维Hilbert空间上研究了一类算子方程的正算子解存在的充分条件和必要条件以及正算子解的范围,并且用迭代的方法得到了方程的正算子解.some necessary conditions and sufficient conditions for the existence of positive operator solutions to the equation are studied in infinite dimensional Hilbert space and the rang of the positive operator solutions is given. Moreover, the positive solution of this class of equation is obtained by using effective iterative method.

关 键 词：算子方程 正算子 可逆算子 谱 谱半径 

分 类 号：O177.91[理学—数学]