By W.B. Johnson, J. Lindenstrauss

Proposing an summary of so much features of contemporary Banach house conception and its functions, this guide bargains updated surveys by means of quite a number professional authors. The surveys talk about the relation of the topic with such components as harmonic research, complicated research, classical convexity, chance idea, operator concept, combinatorics, common sense, geometric degree thought and partial differential equations. comprises the entire history wanted for interpreting the other bankruptcy. all of the 21 articles after his is dedicated to 1 particular path of Banach area conception or its functions. each one article encompasses a stimulated creation in addition to an exposition of the most effects, tools and open difficulties in its particular course. Many articles include new proofs of recognized effects in addition to expositions of proofs that are tough to find within the literature or are just defined within the unique examine papers. The guide could be beneficial to researchers in Banach concept, in addition to graduate scholars and mathematicians who are looking to get an concept of some of the advancements in Banach area idea.