Affine properties and injectivity of quasi-isometries

被引：0

作者：

I. A. Vestfrid

机构：

[1] Technion — Israel Institute of Technology,Department of Mathematics

来源：

Israel Journal of Mathematics | 2004年 / 141卷

关键词：

Banach Space; Convex Domain; Absolute Constant; Main Lemma; Linear Isometry;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We approximateε-quasi-isometries between finite-dimensional Banach spaces by linear near-isometries. In this way we improve and extend a theorem of John. We also improve results of Gevirtz on injectivity criteria for quasi-isometries. Our approach is to show thatε-quasi-isometries almost satisfy the Jensen functional equation and to use then known facts about linear approximation of approximate solutions of Jensen’s equation.

引用

页码：185 / 210

页数：25

共 23 条

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