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: |
|
Hits: 2852 |
Download times: 1816 |
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 |
|
|
|