The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l 1(Γ) Type Spaces and The Application to the Isometric Extension Problem-Reference-Cited by-同舟云学术

The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l 1(Γ) Type Spaces and The Application to the Isometric Extension Problem

Published:2004-11 Issue:6 Volume:20 Page:1089-1094
ISSN:1439-8516
Container-title:Acta Mathematica Sinica, English Series
language:en
Short-container-title:Acta Math Sinica

Author:

Ding Guang Gui

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10114-004-0447-7.pdf

Reference8 articles.

1. Banach, S.: Theoriě des opěrations Liněaires, Monografje Matematyczne, Warszawa, 1932

2. Tingley, D.: Isometries of the unit sphere. Geometriae Dedicata, 22, 371–378 1987

3. Ding, G. G.: On the extension of isometries between unit spheres of E and C(Ω). Acta Mathematica Sinica, English Series, 19(4), 793–800 (2003)

4. Ding, G. G.: The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real linear isometry of the whole space. Science in China, 45(4), 479–483 (2002)

5. Mayer-Nieberg, P.: Banach Lattices, Springer-Verlag, Berlin-Heildelberg-New York, 1991

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