Characterization of the Orthogonal Decomposition of the Hilbert Space and Application
Received:January 17, 2000  
Key Word: Hilbert space   orthogonal decomposition   Riesz-representation   saddle-point problem.  
Fund ProjectL:
Author NameAffiliation
DUAN Huo-yuan Inst. of Math.
Chinese Academy of Science
Beijing
China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.2002.04.016
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