Selecta. Volume 1. Edited by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos and Igor Verbitsky (Q2018280)

Nigel Kalton was one of the greatest mathematicians of the last 50~years who contributed to all branches of abstract analysis as well as to various other fields such as game theory. His published work encompasses 272~papers, three monographs as an author and two as an editor. Every single of these papers contains a deep contribution by Kalton; therefore it was a natural idea after his unexpected death in 2010 to collect a number of his articles in a separate edition. The editors were facing a daunting task to select the material for these two volumes since Kalton never published trivial or weak mathematics. At the end of the day they chose 48~papers, some very famous and some not (yet) so well-known, excluding from the outset works coauthored by them or Kalton's faculty colleagues. They have grouped the contributions into eight parts: Nonlocally convex spaces and submeasures -- Differential games -- Operator theory -- Harmonic analysis and PDEs (all in Volume~1); Approximation theory -- Geometry of Banach spaces -- Interpolation theory -- Probability and Banach spaces (all in Volume~2). It should be mentioned that one of the papers in these volumes was previously unpublished, see [the author and \textit{L. Weis}, in: Selecta. Volume 1. Edited by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos and Igor Verbitsky. Basel: Birkhäuser/Springer. 716--764 (2016; Zbl 1385.47008)]. Each of these papers is accompanied by a commentary written by an expert on the topic in question. The commentaries often have the layout History of the problem -- Comment on the paper -- Further developments; the commentators include M.~Cwikel, H. G.~Dales, P.~Enflo, D.~Fremlin, B.~Maurey, G.~Pisier and many others. Needless to say that these comments provide valuable information that is difficult to find elsewhere. Volume~1 also contains a CV of Nigel Kalton adapted from his own files. In addition, readers might be interested in the obituary published by \textit{G.~Godefroy} [Bull. Lond. Math. Soc. 46, No. 6, 1292--1325 (2014; Zbl 1302.01043)]. The Nigel Kalton Memorial website, maintained at the University of Missouri--Columbia, hosts a lot of material about Nigel Kalton and his work; in particular, all his papers can be downloaded from there. These volumes form a great collection of great works by a great mathematician whose untimely death shattered his friends and coauthors. The ``Selecta'' will create a lasting monument for him.