Monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations

Fuente: arXiv
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Main Authors: Bogdanović, Katarina, Peperko, Aljoša
Format: Preprint
Published: 2024
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author Bogdanović, Katarina
Peperko, Aljoša
author_facet Bogdanović, Katarina
Peperko, Aljoša
contents We prove new monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations of bounded sets of positive kernel operators on $L^2$. To our knowledge, several proved properties are new even in the finite dimensional case.
format Preprint
id arxiv_https___arxiv_org_abs_2408_04357
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations
Bogdanović, Katarina
Peperko, Aljoša
Functional Analysis
We prove new monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations of bounded sets of positive kernel operators on $L^2$. To our knowledge, several proved properties are new even in the finite dimensional case.
title Monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations
topic Functional Analysis
url https://arxiv.org/abs/2408.04357