JIPAM

Generalizations of the Triangle Inequality  
 
  Authors: Saburou Saitoh,  
  Keywords: Triangle inequality, Hilbert space, Sum of two Hilbert spaces, various operators among Hilbert spaces, Reproducing kernel, Linear mapping, Norm inequality  
  Date Received: 09/12/02  
  Date Published: 15/03/03  
  Subject Codes:

30C40, 46E32, 44A10, 35A22.

  
  Editors: Tsuyoshi Ando,  
 
  Abstract:

The triangle inequality
is well-known and fundamental. Since the 8th General Inequalities meeting in Hungary (September 15-21,
2002), the author has been considering an idea that as triangle inequality, the inequality
may be more suitable. The triangle inequality
will be naturally generalized for some natural sum of any two members
of any two Hilbert spaces
. We shall introduce a natural sum Hilbert space for two arbitrary Hilbert spaces.
;


This article was printed from JIPAM
http://140.159.26.65/jipam

The URL for this article is:
http://140.159.26.65/jipam/article.php?sid=300