Lectures on the classical moment problem and its noncommutative generalization

TL;DR

This paper explores the noncommutative extension of the classical moment problem, providing a comprehensive overview of both the classical and noncommutative frameworks in infinite-dimensional settings.

Contribution

It introduces a noncommutative generalization of the classical moment problem and summarizes its classical infinite-dimensional counterpart.

Findings

Develops a framework for the noncommutative moment problem

Summarizes classical moment problem in infinite dimensions

Provides foundational insights for future research in noncommutative analysis

Abstract

These notes contain a presentation of the noncommutative generalization of the classical moment problem introduced in [10] and [12]. They also contain a short summary of the classical moment problem in infinite dimension.