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;
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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.
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