On the Reduced Minimum Modulus of Projections and the Angle between Two Subspaces

被引：0
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作者：
Xiu Hong SUNYuan LI School of ScienceXian University of Science and TechnologyShaanxiPRChinaCollege of Mathematics and Information ScienceShaanxi Normal UniversityShaanxi PRChina [1 ,2 ,1 ,710054 ,2 ,710062 ]
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来源：
数学研究与评论 | 2011年 / 31卷 / 01期
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中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
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摘要：
Let M and N be nonzero subspaces of a Hilbert space H,and PM and PN denote the orthogonal projections on M and N,respectively.In this note,an exact representation of the angle and the minimum gap of M and N is obtained.In addition,we study relations between the angle,the minimum gap of two subspaces M and N,and the reduced minimum modulus of(I-PN)PM.
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页码：165 / 172
页数：8
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