科研之友
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摘要
This paper gives a characterization of nonexpansive mappings from the unit sphere of l(beta)(Gamma) onto the unit sphere of l(beta)(Delta) where 0 < beta <= 1. By this result, we prove that such mappings are in fact isometries and give an affirmative answer to Tingley's problem in l(beta)(Gamma) spaces. We also show that the same result holds for expansive mappings between unit spheres of l(beta)(Gamma) spaces without the surjectivity assumption.
- 出版日期2010-8
- 单位南开大学
