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

页码：807 / 827

页数：21

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