Projections in Krein spaces

被引：25

作者：

Ando, Tsuyoshi ^{[1
]}

机构：

[1] Hokkaido Univ Emeritus, Shiroishi Ku, Sapporo, Hokkaido 0030024, Japan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 12期

关键词：

J-projection; J-positive projection; J-contractive operator; Regular subspace; Krein space;

D O I：

10.1016/j.laa.2009.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (H,J) be a Krein space with selfadjoint involution J. Starting with a canonical representation of a J-selfadjoint projection, J-projection in short, as the sum of a J-positive projection and a J-negative one we study in detail the structure of a regular subspace, that is, the range of a J-projection. We treat the problem when the sum of two regular subspaces is again regular. We also treat the problem when the closure of the range of the product of a J-contraction and a J-expansion becomes regular. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：2346 / 2358

页数：13