QUASI-ISOMETRIES IN CONTINUOUS FUNCTIONS SPACES

被引：0

作者：

Vestfrid, Igor A. ^{[1
]}

机构：

[1] Nehemya St 21-6, Haifa 32294, Israel

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 02期

关键词：

Stability; quasi-isometry; Banach spaces; isometric approximation;

D O I：

10.1090/proc/16570

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider quasi-isometries in real continuous functions spaces and show that such a quasiisometry can be well approximated by an affine surjective isometry.On the other hand, we give an example of quasi-isometries of the unit ball BH in a Hilbert space H that are far from any affine map of H and from any isometry of BH.

引用

页码：739 / 748

页数：10

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