再论第一类算子方程的ε近似解  

ON THE ε-APPROXIMATED SOLUTION OF OPERATOR EQUATIONS

作　　者：欧阳亮[1] 

机构地区：[1]山东大学数学研究所

出　　处：《山东大学学报（自然科学版）》1993年第1期123-126,共4页Journal of Shandong University(Natural Science Edition)

基　　金：山东省自然科学基金

摘　　要：给出了实伊氏空间H上第一类算子方程的ε近似解存在的充要条件.Three existence theorems about the e-approximated solution of operator eqations are proved. The main result is the following theorem.Theorem 1. Suppose H is a real Hilbert space, F is a real reflexive Banach space and A is a linear complete continued operator mapping H into F, then the n. a. s. c of existing an ε approximated solution of the eqation Ax=f, f∈F on S^R is <f,f~*>≤ε‖f~*‖+R‖A~*f~*‖_H, (?)f~*∈F~*.

关 键 词：拟解 ε近似解 算子方程 

分 类 号：O177[理学—数学]