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- Title
Extension of Isometries Between the Unit Spheres of Normed Space E and C (Ω).
- Authors
Fang, Xi Nian; Wang, Jian Hua
- 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).
- Subjects
ISOMETRICS (Mathematics); MATHEMATICAL mappings; FIELD extensions (Mathematics); CONVEX bodies; BANACH spaces; LATTICE theory
- Publication
Acta Mathematica Sinica, 2006, Vol 22, Issue 6, p1819
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-005-0725-z