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On extension of isometries between unit spheres of  -spaces  |
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| Authors: | Wang Jian |
| Affiliation: | Department of Mathematics, Nanjing University, Nanjing, 210093, People's Republic of China - Department of Mathematics, Fujian Normal University, Fuzhou 350007, People's Republic of China |
| Abstract: | In this paper, we study the extension of isometries between unit spheres of atomic  -spaces  . We find a condition under which an isometry  between unit spheres can be linearly isometrically extended. Moreover, we prove that every onto isometry between unit spheres of atomic  -spaces  can be linearly isometrically extended to the whole space. |
| Keywords: | Atomic $AL_p$-space isometric extension atom |
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