Characterization of central elements of operator algebras by inequalities

TL;DR

This paper introduces a set of inequalities that effectively identify central elements within von Neumann algebras and C*-algebras, providing a new characterization method.

Contribution

It presents novel inequalities that characterize central elements in operator algebras, advancing the understanding of their structural properties.

Findings

Inequalities successfully characterize central elements.

Applicable to both von Neumann and C*-algebras.

Provides a new tool for algebra analysis.

Abstract

We propose a list of inequalities which characterize central elements in von Neumann algebras and C*-algebras.