Some new properties and isometries on the unit spheres of generalized James spaces Jp

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:393

Article

Tan, Dong-Ni

关键词: Generalized James space J(p);    Tingley problem;    Isometric extension;    Trivial isometries;   

DOI  :  10.1016/j.jmaa.2012.03.024

来源: Elsevier

【 摘 要 】

This paper concerns the study of generalized James space J(p). In this notation J(2) is the well-known James space. We characterize surjective isometries of the unit sphere of J(p). As a result, we answer Tingley's problem affirmatively in J(p) and generalize Bellenot's result to J(p). Precisely we prove that J(p) admits only trivial surjective isometries. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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