摘要
本文在可分的 Hilbert空间中给出连续线性算子方程 Au=f 解存在的充要条件及最小范数解表达式 ,由此给出了近似求解方法 ,且利用此方法给出了算例 .
In this paper, we study the problem for solving continuous linear operator equations in separable Hilbert space. The necessary and sufficient condition for the existence and the uniqueness of solution of the equation is given. We give also minimal norm solution of the equation. Using above methods some examples are also given illustrate of this theory.
出处
《哈尔滨师范大学自然科学学报》
CAS
2002年第3期10-13,共4页
Natural Science Journal of Harbin Normal University
