Canonical angles of unitary spaces and perturbations of direct complements

被引：29

作者：

Wimmer, HK ^{[1
]}

机构：

[1] Univ Wurzburg, Math Inst, D-97074 Wurzburg, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 287卷 / 1-3期

关键词：

direct complements; canonical angles; oblique projections; gap metric;

D O I：

10.1016/S0024-3795(98)10017-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let C-n = L + W be a given direct sum decomposition. We determine the largest number r(i) such that all subspaces M for which the gap theta between L and M satisfies theta(L, M) < r(i) have the property dim(M boolean AND W) < i. The problem involves angles be tween subspaces, i.e. singular values of products of projections. (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：373 / 379

页数：7

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