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

Author:

Fang Xi Nian,Wang Jian Hua

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. Mazur, S., Ulam, S.: Sur less transformations isometriques d’espaces vectoriels normés. C. R. Acad. Paris., 194, 946–948 (1932)

2. Mankiewicz, P.: On extension of isometries in normed linear spaces. Bull. Acad. Polon, Sci. Ser. Sci. Math. Astronomy, Phys., 20, 367–371 (1972)

3. Tingley, D.: Isometries of the unit sphere. Geometriae Dedicta, 22, 371–378 (1987)

4. Ding, G. G.: The isometric extension problem in the unite spheres of l p (Γ)(p > 1) type spaces. Science in China, Ser. A, 32(11), 991–995 (2002)

5. Ding, G. G.: The representation theorem of onto isometric mappings between two unit spheres of l 1(Γ) type spaces and the application to isometric extension problem. Acta Math. Sinica, English Series, 20(6), 1089–1094 (2004)

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