On lower and upper bounds of matrices

被引：0

作者：

Gao, Peng ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 01期

关键词：

Lower and upper bounds of matrices; MONOTONE-FUNCTIONS; INEQUALITIES;

D O I：

10.1016/j.jmaa.2009.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using an approach of Bergh, we give an alternate proof of Bennett's result on lower bounds for non-negative matrices acting on non-increasing non-negative sequences in l(p) when p >= 1 and its dual version, the upper bounds when 0 < p <= 1. We also determine such bounds explicitly for some families of matrices. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：108 / 122

页数：15

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