The non-linear geometry of Banach spaces after Nigel Kalton

TL;DR

This survey reviews recent advances in the non-linear geometry of Banach spaces over the past twelve years, emphasizing Nigel Kalton's significant contributions to the field.

Contribution

It highlights Nigel Kalton's pioneering work and summarizes key developments in the non-linear geometry of Banach spaces during the last decade.

Findings

Significant progress in understanding non-linear structures of Banach spaces

Nigel Kalton's foundational contributions shaped recent research

New techniques developed for analyzing non-linear geometric properties

Abstract

This is a survey of some of the results which were obtained in the last twelve years on the non-linear geometry of Banach spaces. We focus on the contribution of the late Nigel Kalton.