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On non-surjective coarse isometries between Banach spaces |
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| Authors: | Lixin Cheng Quanqing Fang Sijie Luo Longfa Sun | |
| Institution: | 1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China. E-Mail 815045306@qq.com;3. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China. E-Mail sijieluo@qq.com;4. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China. E-Mail 364898029@qq.com | |
| Abstract: | Assume that X, Y are real Banach spaces, Y has uniform convexity of type p (≥ 1), and f: X → Y is a standard coarse isometry. In this paper, we show that if
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| Keywords: | Primary 46B04 46B20 47A58 Secondary 46A20 | |
then there is a linear isometry U : X → Y so that
where 
Representation properties of coarse isometries in free ultrafilter limits on 