数学物理学报(英文版) ›› 1988, Vol. 8 ›› Issue (4): 361-372.

• 论文 •    下一篇

THE APPROXIMATION PROBLEM OF ALMOST ISOMETRIC OPERATORS BY ISOMETRIC OPERATORS

定光桂   

  1. Nankai University, Tianjin, China
  • 收稿日期:1985-07-03 出版日期:1988-12-25 发布日期:1988-12-25

THE APPROXIMATION PROBLEM OF ALMOST ISOMETRIC OPERATORS BY ISOMETRIC OPERATORS

Ding Guanggui   

  1. Nankai University, Tianjin, China
  • Received:1985-07-03 Online:1988-12-25 Published:1988-12-25

摘要: The strictly (theorized) "equidistant operater" does not come into existence. What can be seen in practice is "almost equidistant" operator. The description of "almost equidistance" is essentially a form of "absolute error", and in this paper we will study the "almost equidistance (isometry)" described by the form of "relative error".

Abstract: The strictly (theorized) "equidistant operater" does not come into existence. What can be seen in practice is "almost equidistant" operator. The description of "almost equidistance" is essentially a form of "absolute error", and in this paper we will study the "almost equidistance (isometry)" described by the form of "relative error".