English

Inequalities on the essential joint and essential generalized spectral radius

Functional Analysis 2024-02-08 v1

Abstract

We prove new inequalities for the essential generalized and the essential joint spectral radius of Hadamard (Schur) weighted geometric means of bounded sets of infinite nonnegative matrices that define operators on suitable Banach sequence spaces and of bounded sets of positive kernel operators on L2L^2. To our knowledge the obtained inequalities are new even in the case of singelton sets.

Keywords

Cite

@article{arxiv.2402.04265,
  title  = {Inequalities on the essential joint and essential generalized spectral radius},
  author = {B. Lins and A. Peperko},
  journal= {arXiv preprint arXiv:2402.04265},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2202.02325, arXiv:1805.09680, arXiv:1612.01765, arXiv:2107.09459

R2 v1 2026-06-28T14:40:33.971Z