Weighted projections into closed subspaces

被引：13
|
作者：
Corach, G. [1 ,2 ]
Fongi, G. [2 ]
Maestripieri, A. [1 ,2 ]
机构：
[1] FI UBA, Dept Matemat, Buenos Aires, DF, Argentina
[2] Inst Argentino Matemat, Buenos Aires, DF, Argentina
来源：
STUDIA MATHEMATICA | 2013年 / 216卷 / 02期
关键词：
projections under seminorm; compatibility; weighted least squares problems; LEAST-SQUARES PROBLEMS; OBLIQUE PROJECTIONS; GENERALIZED INVERSES; OPERATOR RANGES; HILBERT-SPACES; MATRICES;
D O I：
10.4064/sm216-2-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study A-projections, i.e. operators on a Hilbert space H which act as projections when a seminorm is considered in H. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of H. We also study the relationship between weighted least squares problems and compatibility.
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页码：131 / 148
页数：18
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