A remark on extension of into isometries |
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| Authors: | Rui Dong Wang |
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| Institution: | 1. School of Mathematics, Nankai University, Tianjin, 300071, P. R. China
2. Department of Mathematics, Tianjin University of Technology, Tianjin, 300191, P. R. China
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| Abstract: | In this paper, we prove that an into isometry form S(l
(n)∞) to S(E), which under some conditions, can be extended to be a linear isometry defined on the whole space. Therefore we improve the
results of Ding, G. G.: The isometric extension of an into mapping from the unit sphere S(l
(2)∞) to S(L
μ
1). Acta Mathematica Sinica, English Series, 22(6), 1721–1724 (2006)]. |
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| Keywords: | isometric extension Tingley＇s problem l（n）^∞-space |
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