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.
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页码：419 / 433
页数：15
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