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.

引用

页码：127 / 143

页数：17

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