Journal of Jilin University Science Edition

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A LowerBound of Multiplicative Combination Approximation

GAO Guibao1,2, DU Hongke2   

  1. 1. Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi Province, China;2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
  • Received:2013-04-19 Online:2014-05-26 Published:2014-08-27
  • Contact: GAO Guibao E-mail:gaoguibao02@163.com

Abstract:

By means of blockoperator matrices of bounded linear operators on a Hilbert space, we gave a lowerbound on a multiplicative combination approximation associated with the two subspaces of a Hilbert space, which can reach the lowerbound of the error.

Key words: subspace, orthogonal projection, multiplicative combination approximation

CLC Number: 

  • O177.1