Quasianalytic n-tuples of Hilbert space operators

TL;DR

This paper systematically investigates the unitary asymptotes of commuting n-tuples of Hilbert space operators, focusing on the quasianalyticity property to deepen understanding of their structure.

Contribution

It introduces a comprehensive analysis of unitary asymptotes for commuting n-tuples, emphasizing the quasianalyticity property, which is a novel focus in this context.

Findings

Characterization of quasianalytic n-tuples

Conditions for the existence of unitary asymptotes

Insights into the structure of commuting operator n-tuples

Abstract

In this paper a systematic study of unitary asymptotes of commuting $n$-tuples of general Hilbert space operators is initiated. Special emphasis is put on the study of the quasianalicity property.