Acta mathematica scientia,Series B

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A NEW CHARACTERIZATION OF THE CLOSEDNESS OF THE SUM OF TWO SUBSPACES

Deng Chunyuan; Du Hongke   

  1. School of Mathematics Science, South China Normal University, Guangzhou 510631, China
  • Received:2005-08-26 Revised:2006-07-10 Online:2008-01-20 Published:2008-01-20
  • Contact: Deng Chunyuan

Abstract:

In this article, a new characterization of the closedness of the sum of two closed subspaces of a Hilbert space is established.

Key words: Subspace, projection, sum of two closed subspaces

CLC Number: 

  • 47A10
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