, Volume 22, Issue 6, pp 1819-1824
Date: 24 Mar 2006

Extension of Isometries Between the Unit Spheres of Normed Space E and C (Ω)

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

In this paper, we study the extension of isometries between the unit spheres of normed space E and C(Ω). We obtain that any surjective isometry between the unit spheres of normed space E and C(Ω) can be extended to be a linear isometry on the whole space E and give an affirmative answer to the corresponding Tingley’s problem (where Ω be a compact metric space).