Written by an expert on the topic and experienced lecturer this textbook provides an elegant
self-contained introduction to functional analysis including several advanced topics and
applications to harmonic analysis. Starting from basic topics before proceeding to more
advanced material the book covers measure and integration theory classical Banach and Hilbert
space theory spectral theory for bounded operators fixed point theory Schauder bases the
Riesz-Thorin interpolation theorem for operators as well as topics in duality and convexity
theory. Aimed at advanced undergraduate and graduate students this book is suitable for both
introductory and more advanced courses in functional analysis. Including over 1500 exercises of
varying difficulty and various motivational and historical remarks the book can be used for
self-study and alongside lecture courses.
