Hilbert空间的正交分解及其应用  

Characterization of the Orthogonal Decomposition of the Hilbert Space and Application

作　　者：段火元[1] 

机构地区：[1]中国科学院效学研究所,北京100080

出　　处：《Journal of Mathematical Research and Exposition》2002年第4期599-602,共4页数学研究与评论（英文版）

摘　　要：基于Riesz-表示算子,给出了实Hilbert内积空间按某种连续双线性泛函的正交分解的刻划,应用于鞍点变分问题,获得了解的分离及其强制型于问题.This paper proposes a characterization of the orthogonal subspace of Hilbert space, where the orthogonal decomposition is derived from some continuous bilinear form. As an application, the solutions to saddle-point problems are decoupled, and as a result two coercive subproblems are obtained, which can be separately approximated.

关 键 词：正交分解 HILBERT空间 Riesz-表示算子 鞍点变分问题 逼近 

分 类 号：O177.1[理学—数学]