Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces

被引：0

作者：

Katarina Bogdanović

Aljoša Peperko

机构：

[1] University of Belgrade,Faculty of Mathematics

[2] University of Ljubljana,Faculty of Mechanical Engineering

[3] Institute of Mathematics,undefined

[4] Physics and Mechanics,undefined

来源：

Positivity | 2022年 / 26卷

关键词：

Spectral radius; Essential spectral radius; Operator norm; Positive operators; Kernel operators; Primary 47A10; 47B65; 47A63; Secondary 46E30; 46B45; 15A42; 15A60;

D O I：

暂无

中图分类号：

学科分类号：

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 means of positive kernel operators on Banach function and sequence spaces. Some inequalities extend and refine known inequalities that have been established by several authors relatively recently. Several inequalities appear to be new even in the finite dimensional case.

引用

共 32 条

[1] Hadamard weighted geometric mean inequalities for the spectral and essential spectral radius of positive operators on Banach function and sequence spaces
Bogdanovic, Katarina
Peperko, Aljosa
POSITIVITY, 2022, 26 (01)
[2] Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces
Aljoša Peperko
Positivity, 2021, 25 : 1659 - 1675
[3] Inequalities for the spectral radius and essential spectral radius of positive operators on Banach sequence spaces
Peperko, Aljosa
POSITIVITY, 2021, 25 (04) : 1659 - 1675
[4] Inequalities for the Hadamard weighted geometric mean of positive kernel operators on Banach function spaces
Drnovsek, Roman
Peperko, Aljosa
POSITIVITY, 2006, 10 (04) : 613 - 626
[5] Inequalities for the Hadamard Weighted Geometric Mean of Positive Kernel Operators on Banach Function Spaces
Roman Drnovšek
Aljoša Peperko
Positivity, 2006, 10 : 613 - 626
[6] Inequalities on the spectral radius, operator norm and numerical radius of the Hadamard weighted geometric mean of positive kernel operators
Peperko, Aljosa
LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (08): : 1637 - 1652
[7] Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators
Peperko, Aljosa
LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (11): : 2159 - 2172
[8] Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators
Bogdanovic, Katarina
Peperko, Aljosa
LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (17): : 2839 - 2857
[9] On the spectral radius of positive operators on Banach sequence spaces
Drnovsek, Roman
Peperko, Aljosa
LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 433 (01) : 241 - 247
[10] INEQUALITIES ON THE SPECTRAL RADIUS AND THE OPERATOR NORM OF HADAMARD PRODUCTS OF POSITIVE OPERATORS ON SEQUENCE SPACES
Drnovsek, Roman
Peperko, Aljosa
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 10 (04): : 800 - 814

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