Tingley's problem on finite von Neumann algebras

被引：34

作者：

Tanaka, Ryotaro ^{[1
]}

机构：

[1] Kyushu Univ, Fac Math, Fukuoka 8190395, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 451卷 / 01期

基金：

日本学术振兴会;

关键词：

Isometry; Face; Unitary group; Jordan *-isomorphism; ISOMETRIC EXTENSION PROBLEM; 2 UNIT SPHERES; MAZUR-ULAM PROPERTY; REPRESENTATION THEOREM; BANACH-SPACES; MAPPINGS; ELEMENTS;

D O I：

10.1016/j.jmaa.2017.02.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give an affirmative answer to Tingley's problem between finite von Neumann algebras. To do this, we see that every norm closed proper face of the unit ball of a unital C*-algebra can be represented as the intersection of a family of m ximal proper faces. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：319 / 326

页数：8

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