Polynomial inequalities for non-commuting operators

TL;DR

This paper establishes a new inequality involving polynomials applied symmetrically to non-commuting operators, advancing the mathematical understanding of operator inequalities in non-commutative algebra.

Contribution

It introduces a novel inequality for polynomials acting symmetrically on non-commuting operators, filling a gap in operator theory.

Findings

Proved a new polynomial inequality for non-commuting operators

Extended the understanding of operator inequalities in non-commutative settings

Potential applications in quantum mechanics and operator algebra

Abstract

We prove an inequality for polynomials applied in a symmetric way to non-commuting operators.