Infinite Dimensional Analysis: A Hitchhiker's Guide

by Charalambos D. Aliprantis, Kim C. Border

What you’ll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst. It develops the topological structures in connection with a number of topic areas such as measure theory, convexity, and Banach lattices, as well as covering the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature.

Genres: Mathematics

726 pages, Paperback

First published January 1, 1994

Reviews

[Peter Frazier · Rating 5 out of 5]

This book is a totally cool introduction to functional analysis. The presentation is clear and easy to follow without being slow paced, and in particular I like the treatment of weak* convergence more than Billingsley's.

Before reading this book, I knew squat. Afterward, of course I still know very little, but it taught me enough to be able to make respectable progress on some problems in infinite dimensional vector spaces. So I am a content reader.