THE NON-LINEAR GEOMETRY OF BANACH SPACES AFTER NIGEL KALTON 1. Introduction.
Four articles among Nigel Kalton’s last papers ar Page 1 ROCKY MOUNTAIN JOURNAL OF …

We study the structure of Lipschitz and Holder-type spaces and their preduals on general
metric spaces, and give applications to the uniform structure of Banach spaces. In particular …

This article is a survey of Lipschitz\dywiz free Banach spaces and recent progress in the
understanding of their structure. The results we present have been obtained in the last …

We introduce the notion of Lipschitz compact (weakly compact, finite-rank, approximable)
operators from a pointed metric space X into a Banach space E. We prove that every …

Banach spaces provide a framework for modern mathematical analysis, as they blend
classical analysis, geometry, topology and linearity. This makes Banach space theory a …

This is a commented collection of some easily formulated open problems in the geometry
and analysis on Banach spaces, focusing on basic linear geometry, convexity …

Motivated by the notion of K-gentle partition of unity introduced in [JR Lee and A. Naor,
Extending Lipschitz functions via random metric partitions, Invent. Math. 160 (2005), no. 1 …

We prove that the Lipschitz-free space over a countable proper metric space is isometric to a
dual space and has the metric approximation property. We also show that the Lipschitz-free …

We establish the basics of the theory of Lipschitz operator ideals with the aim of recovering
several classes of Lipschitz maps related to absolute summability that have been introduced …

Approximation properties and Schauder decompositions in Lipschitz-free spaces Page 1
Available online at www.sciencedirect.com Journal of Functional Analysis 264 (2013) 2323–2334 …