Article

On non-surjective coarse isometries between Banach spaces

Published in: Quaestiones Mathematicae
Volume 42 , issue 3 , 2019 , pages: 347–362

DOI: 10.2989/16073606.2018.1448900

Author(s): Lixin Cheng School of Mathematical Sciences, China , Quanqing Fang School of Mathematical Sciences, China , Sijie Luo School of Mathematical Sciences, China , Longfa Sun School of Mathematical Sciences, China

Keywords: Primary 46B04 , 46B20 , 47A58 , Secondary 46A20 , Primary 46B04 , 46B20 , 47A58 , Secondary 46A20

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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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