Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces

被引：4

作者：

Peperko, Aljosa ^{[1
,2
]}

机构：

[1] Univ Ljubljana, Fac Mech Engn, Askerceva 6, SI-1000 Ljubljana, Slovenia

[2] Inst Math Phys & Mech, Jadranska 19, SI-1000 Ljubljana, Slovenia

来源：

POSITIVITY | 2021年 / 25卷 / 04期

关键词：

Spectral radius; Essential spectral radius; Operator norm; Measure of noncompactness; numerical radius; inequalities; Cohen’ s convexity theorem; Infinite nonnegative matrices; Positive operators; Hadamard product; Schur product; Hadamard weighted geometric mean; Banach sequence spaces; Banach function spaces; Kernel operators; HADAMARD-PRODUCTS; BOUNDED SETS; CONVEXITY; JOINT; NORM;

D O I：

10.1007/s11117-021-00833-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove new inequalities for the spectral radius, essential spectral radius, operator norm, measure of noncompactness and numerical radius of Hadamard weighted geometric mean of (infinite or finite) nonnegative matrices that define positive operators on Banach sequence spaces. Some of these inequalities complement the known inequalities and some of them refine known inequalities. Several inequalities appear to be new even in the finite dimensional case.

引用

页码：1659 / 1675

页数：17

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