Infinite Dimensional Analysis

by Charalambos D. Aliprantis, Kim C. Border

This monograph presents 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 does not have an extensive background and does not plan to make a career as a functional analyst. It develops the topological structures in connection with measure theory, convexity, Banach lattices, integration, correspondences (multifunctions), and the analytic approach to Markov processes. Many of the results were previously available only in works scattered throughout the literature. The choice of material was motivated from problems in control theory and economics, although the material is more applicable than applied.

Genres: Mathematics

Kindle Edition

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.