ON NON-SURJECTIVE COARSE ISOMETRIES BETWEEN BANACH SPACES

摘要

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.