Commutativity of normal compact operator via projective spectrum

TL;DR

This paper establishes criteria for when normal compact operators commute, using the projective spectrum, thereby improving previous results in the field.

Contribution

It introduces new commutativity criteria for normal compact operators based on the projective spectrum, advancing prior work by Chagouel, Stessin, and Zhu.

Findings

Derived new criteria for operator commutativity

Enhanced understanding of the projective spectrum's role

Improved upon previous theoretical results

Abstract

In this note we obtain commutativity criteria for normal compact operators using the projective spectrum. We thus improve a corresponding result obtained by Chagouel, Stessin and Zhu[Trans AMS,2016].