Original Articles

Isometries between the unit spheres of l^βγ -sum of strictly convex normed spaces

Published in: Quaestiones Mathematicae
Volume 33 , issue 4 , 2010 , pages: 497–505

DOI: 10.2989/16073606.2010.541988

Author(s): Jinmei Gao* Department of Mathematics, China

Keywords: 46B04 , 46B20 , 46B04 , 46B20

Abstract

In this paper, the author introduces a new F-space the l ^βγ-sum of strictly convex normed spaces, and obtains the representation of onto isometry between the unit spheres, then concludes that such mappings can be extended to the whole space as real linear isometries.

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