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.
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页码：227 / 239
页数：13
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