Sequences of bounds for the spectral radius of a positive operator
Functional Analysis
2019-04-04 v1
Abstract
In 1992, Szyld provided a sequence of lower bounds for the spectral radius of a nonnegative matrix , based on the geometric symmetrization of powers of . In 1998, Ta\c{s}\c{c}i and Kirkland proved a companion result by giving a sequence of upper bounds for the spectral radius of , based on the arithmetic symmetrization of powers of . In this note, we extend both results to positive operators on -spaces.
Keywords
Cite
@article{arxiv.1904.01835,
title = {Sequences of bounds for the spectral radius of a positive operator},
author = {Roman Drnovšek},
journal= {arXiv preprint arXiv:1904.01835},
year = {2019}
}