On the extension of isometries between the unit spheres of von Neumann algebras

被引：29
|
作者：
Fernandez-Polo, Francisco J. [1 ]
Peralta, Antonio M. [1 ]
机构：
[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 01期
关键词：
Tingley's problem; Extension of isometrics; von Neumann algebra; JB-ASTERISK-TRIPLES; C-STAR-ALGEBRAS; TINGLEYS PROBLEM; BANACH-SPACES; REPRESENTATION THEOREM; FACIAL STRUCTURE; OPERATORS; MAPPINGS; ELEMENTS;
D O I：
10.1016/j.jmaa.2018.05.062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear isometry between these two algebras. (C) 2018 Elsevier Inc. All rights reserved.
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页码：127 / 143
页数：17
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