Isometries of real Hilbert C*-modules

被引：3
|
作者：
Hsu, Ming-Hsiu [1 ]
Wong, Ngai-Ching [2 ]
机构：
[1] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 438卷 / 02期
关键词：
Hilbert bundles; Hilbert C*-modules; Isometries; JB*-triples; THEOREM; FORMS;
D O I：
10.1016/j.jmaa.2016.02.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let T : V -> W be a surjective real linear isometry between full real Hilbert C*-modules over real C*-algebras A and B, respectively. We show that the following conditions are equivalent: (a) T is a 2-isometry; (b) T is a complete isometry; (c) T preserves ternary products; (d) T preserves inner products; (e) T is a module map. When A and B are commutative, we give a full description of the structure of T. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：807 / 827
页数：21
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