Moore-penrose inverse in Krein spaces

被引：8

作者：

Mary, Xavier ^{[1
]}

机构：

[1] Ensae CREST, F-92245 Malakoff, France

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2008年 / 60卷 / 03期

关键词：

Moore-Penrose inverse; Krein space; indefinite inner product; unbounded operators;

D O I：

10.1007/s00020-008-1562-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the notion of Moore-Penrose inverse in Krein spaces for both bounded and unbounded operators. Conditions for the existence of a Moore-Penrose inverse are given. We then investigate its relation with adjoint operators, and study the involutive Banach algebra B(H). Finally applications to the Schur complement are given.

引用

页码：419 / 433

页数：15

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