Acta mathematica scientia,Series A

• Articles • Previous Articles     Next Articles

Product of two Orthogonal Projections in a Hilbert Space H

Yao Xiyan; Du Hongke

  

  1. Department of Mathematics, Yuncheng University, Shanxi, 044000
  • Received:2005-06-08 Revised:2006-11-30 Online:2007-08-25 Published:2007-08-25
  • Contact: Yao Xiyan

Abstract: In this paper, structure of regular pairs of orthogonal projections are established. Moreover, a necessary and sufficient condition for an operator A to be able represented as a product of two orthogonal projections is given.

Key words: Orthogonal projection, Regular projection, Positive operator, Spectrum

CLC Number: 

  • 47A10
Trendmd