num_pages: 400
description: This is an introduction to modern Banach space theory in which applications to other areas such as harmonic analysis function theory orthogonal series and approximation theory are also given prominence. The author begins with a discussion of weak topologies weak compactness and isomorphisms of Banach spaces before proceeding to the more detailed study of particular spaces. The book is intended to be used with graduate courses in Banach space theory so the prerequisites are a background in functional complex and real analysis. As the only introduction to the modern theory of Banach spaces it will be an essential companion for professional mathematicians working in the subject or to those interested in applying it to other areas of analysis.
language: English
title: Banach Spaces for Analysts
publisher: Cambridge University Press