A characterization for *-isomorphisms in an indefinite inner product space

被引：0

作者：

Sivakumar, K. C. ^{[1
]}

Kamaraj, K.

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

[2] Tagore Engn Coll, Dept Math, Madras 600048, Tamil Nadu, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 329卷 / 02期

关键词：

indefinite inner product; *-isomorphism;

D O I：

10.1016/j.jmaa.2006.06.099

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let H-1 and H-2 be indefinite inner product spaces. Let L (H-1) and L(H-2) be the sets of all linear operators on H-1 and H-2, respectively. The following result is proved: If phi is [*]-isomorphism from L(H-1) onto L(H-2) then there exists U: H1 -> H-2 such that phi(T) = cUTU([*]) for all T epsilon L(H-1) with UU[*] = cI(2), (UU)-U-[*] = cI(1) and c = +/- 1. Here I-1 and I-2 denote the identity maps on H-1 and H-2, respectively. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1139 / 1144

页数：6