Methods In Banach Space Theory

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Homological Methods in Banach Space Theory

Author: Félix Cabello Sánchez
language: en
Publisher: Cambridge University Press
Release Date: 2023-01-26
Approaches Banach space theory using methods from homological algebra, with concrete examples and proofs of many new and classical results.
Methods in Banach Space Theory

Author: Jesus M. F. Castillo
language: en
Publisher: Cambridge University Press
Release Date: 2006-11-30
A comprehensive overview of modern Banach space theory.
Methods in Banach Space Theory

This book presents an overview of modern Banach space theory. It contains sixteen papers that reflect the wide expanse of the subject. Articles are gathered into five sections according to methodology rather than the topics considered. The sections are: geometrical methods; homological methods; topological methods; operator theoretic methods; and also function space methods. Each section contains survey and research papers describing the state-of-the-art in the topic considered as well as some of the latest most important results. Researchers working in Banach space theory, functional analysis or operator theory will find much of interest here.