Tingley's problem on finite von Neumann algebras

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Tanaka, Ryotaro¹ 

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

关键词: Isometry;    Face;    Unitary group;    Jordan *-isomorphism;   

DOI  :  10.1016/j.jmaa.2017.02.013

来源: Elsevier

【 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.

【 授权许可】

Free