| The isometric extension of “into” mappings on unit spheres of AL-spaces |
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| 作者单位： | DING GuangGui School of Mathematics Science，Chern Institute of Mathematics and LPMC，Nankai University，Tianjin 300071，China |
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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.
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The isometric extension of "into" mappings on unit spheres of AL-spaces |
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| Authors: | DING GuangGui School of Mathematics Science Chern Institute of Mathematics and LPMC Nankai University Tianjin China |
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| Institution: | DING GuangGui School of Mathematics Science,Chern Institute of Mathematics and LPMC,Nankai University,Tianjin 300071,China |
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| Abstract: | 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. |
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| Keywords: | isometric extension (atomic) AL-space |
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