A brief survey of Nigel Kalton's work on interpolation and related topics

TL;DR

This paper provides a comprehensive overview of Nigel Kalton's influential work on interpolation theory for Banach and quasi-Banach spaces, highlighting his key contributions without presenting new results.

Contribution

It offers a broad survey of Nigel Kalton's significant and diverse contributions to the field of interpolation theory, emphasizing his impact on Banach and quasi-Banach spaces.

Findings

Summarizes Nigel Kalton's key theoretical contributions

Highlights his influence on interpolation of Banach spaces

Provides context for his work within the mathematical community

Abstract

This is the third of a series of papers surveying some small part of the remarkable work of our friend and colleague Nigel Kalton. We have written it as part of a tribute to his memory. It does not contain new results. This time, rather than concentrating on one particular paper, we attempt to give a general overview of Nigel's many contributions to the theory of interpolation of Banach spaces, and also, significantly, quasi-Banach spaces.