The Mazur-Ulam property for uniform algebras

被引：8

作者：

Hatori, Osamu ^{[1
]}

机构：

[1] Niigata Univ, Inst Sci & Technol, Niigata 9502181, Japan

来源：

STUDIA MATHEMATICA | 2022年 / 265卷 / 02期

关键词：

Tingley's problem; the Mazur-Ulam property; surjective isome-tries; uniform algebras; maximal convex sets; analytic functions; UNIT SPHERES; ISOMETRIES; EXTENSION; SPACE;

D O I：

10.4064/sm210703-11-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a sufficient condition on a complex Banach space for the homo-geneous extension of every surjective isometry from the unit sphere of it onto another one to be real-linear. The condition is satisfied by uniform algebras.

引用

页码：227 / 239

页数：13

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