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5. The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real lin

The 1-Lipschitz mapping between the unit spheres of two Hilbert spaces can be extended to a real lin

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：caicai_0326

【摘 要】

：

Let E and F be Hilbert spaces with unit spheres S1(E) and S1(F). Suppose that V0 S1(E)→S1(F) is a Lipschitz mapping with Lipschitz constant k=1 such that -V0[S

【作 者】

：

DING Guanggui(定光桂) 

【机 构】

：

DepartmentofMathematics

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2002年4期

【关键词】

：

ISOMETRIC mapping STRICTLY convex SMOOTH point. isometric mapping strictly con 

【基金项目】

：

国家自然科学基金

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Let E and F be Hilbert spaces with unit spheres S1(E) and S1(F). Suppose that V0 S1(E)→S1(F) is a Lipschitz mapping with Lipschitz constant k=1 such that -V0[S1(E)] V0[S1(E)]. Then V0 can be extended to a real linear isometric mapping V from E into F. In

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