子空间间角的不等式及其内积空间中Cauchy-Schwarz不等式的应用

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI:10.7153/mia-2020-23-40

Z. Otachel

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引用次数: 1

摘要

我们给出了内积空间中涉及凹函数的向量与子空间夹角的几个不等式。在特定情况下，它们中的一些可以解释为复射影空间上自然度量的三角形不等式。因此，我们得到了著名的Cauchy-Schwarz不等式的几个算子推广，其中幂大于2。数学学科分类(2010):46C05, 15A455。

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Inequalities for angles between subspaces with applications to Cauchy-Schwarz inequality in inner product spaces

We show several inequalities for angles between vectors and subspaces in inner product spaces, where concave functions are involved. In specific situations, some of them can be interpreted as triangle inequalities for natural metrics on complex projective spaces. In a consequence, we obtain a few operator generalizations of the famous Cauchy-Schwarz inequality, where powers grater than two occur. Mathematics subject classification (2010): 46C05, 15A455.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.