Bicircular projections and characterization of Hilbert spaces

被引：26

作者：

Stachó, LL

Zalar, B

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

[2] Univ Maribor, SLO-2000 Maribor, Slovenia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 10期

关键词：

JB* triple; bicircular projection; contractive projection; Hilbert space; Peirce decomposition;

D O I：

10.1090/S0002-9939-04-07333-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that every JB* triple with rank one bicircular projection is a direct sum of two ideals, one of which is isometrically isomorphic to a Hilbert space.

引用

页码：3019 / 3025

页数：7

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