Some asymptotic estimates on the Von Neumann Inequality for homogeneous polynomials

TL;DR

This paper reviews and extends asymptotic estimates related to the Von Neumann Inequality for homogeneous polynomials, providing insights into their behavior and potential generalizations.

Contribution

It summarizes existing results and demonstrates how to extend these asymptotic estimates using the original techniques.

Findings

Review of key asymptotic estimates for the Von Neumann Inequality

Extension of these estimates to broader classes of homogeneous polynomials

Potential applications in operator theory and polynomial inequalities

Abstract

We will discuss some results of the paper "Asymptotic estimates on the Von Neumann Inequality for homogeneous polynomials", of Galicer D., Muro S. and Sevilla-Peris P. Also, we will see how to extend some of these results using the same techniques in such paper.