On non-surjective coarse isometries between Banach spaces. Issue 3 (16th March 2019)

• Record Type: Journal Article
• Authors: Cheng, Lixin; Fang, Quanqing; Luo, Sijie; Sun, Longfa
• Is Part Of: Quaestiones mathematicae. Volume 42:Issue 3(2019)
• Page Start: 347
• Page End: 362
• Publication Date: 2019-03-16
• Subjects: Primary 46B04 -- 46B20 -- 47A58 -- Secondary 46A20; Coarse isometry -- stability -- uniform convexity -- Banach space; Mathematics -- Periodicals; 510.5
• DOI: 10.2989/16073606.2018.1448900
• Languages: English
• ISSNs: 1607-3606

Abstract

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 then there is a linear isometry U : X → Y so that where is defined by Representation properties of coarse isometries in free ultrafilter limits on are also discussed.