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The isometric extension of “into” mappings on unit spheres of AL-spaces 被引量:7

The isometric extension of "into" mappings on unit spheres of AL-spaces
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摘要 In this paper, we show that if V0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V0 can be extended to a linear isometry defined on the whole space. In this paper, we show that if V0 is an isometric mapping from the unit sphere of an AL-space onto the unit sphere of a Banach space E, then V0 can be extended to a linear isometry defined on the whole space.
出处 《Science China Mathematics》 SCIE 2008年第10期1904-1918,共15页 中国科学:数学(英文版)
基金 the Research Foundation for Doctor Programme (Grant No. 20060055010) the National Natural Science Foundation of China (Grant No. 10571090)
关键词 ISOMETRIC extension (atomic) AL-space isometric extension, (atomic) AL-space
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