On the Representation and Extension of Isometries between the Unit Spheres of $l^p(\Gamma,E)$ Type Spaces
Received:July 09, 2004  
Key Words: isometry   $l^p(\Gamma,E)$ space   extention of isometry.  
Fund Project:
Author NameAffiliation
FANG Xi-nian Dept. of Appl. Math., Nanjing Audit University, Jiangsu 210029, China 
WANG Jian-hua Dept. of Math., Anhui Normal University, Wuhu 241000, China 
Hits: 2796
Download times: 1776
Abstract:
      This paper gives a representation of surjective isometries between the unit speres of $l^p(\Gamma,E)$ type real spaces (where $p>1,p\neq2$, $E$ be inner space), and proves that these isometries can be extended to be real linear isometries on the whole space.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.03.016
View Full Text  View/Add Comment