Helson and subdiagonal operator algebras

TL;DR

This paper explores the influence of Henry Helson's work, particularly with Lowdenslager, on the development of non self-adjoint operator algebras in Hilbert spaces, highlighting historical and theoretical connections.

Contribution

It clarifies how Helson's foundational work shaped the evolution of subdiagonal operator algebra theory.

Findings

Helson's work significantly influenced operator algebra development

Connections between Helson's and Lowdenslager's research are established

Theoretical insights into non self-adjoint operator algebras are provided

Abstract

This article shows how the work of Henry Helson, especially the two papers of Helson and Lowdenslager, came to influence the development of the theory of non self adjoint operator algebras acting on Hilbert space.