Analysis Now

Graduate Texts in Mathematics #118

by Gert K. Pedersen

Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. From there it gives an introduction to the general theory of operators on Hilbert space, followed by a detailed exposition of the various forms the spectral theorem may take; from Gelfand theory, via spectral measures, to maximal commutative von Neumann algebras. The book concludes with two supplementary a concise account of unbounded operators and their spectral theory, and a complete course in measure and integration theory from an advanced point of view.

Genres: Mathematics

294 pages, Hardcover

First published December 1, 1988

Reviews

[Liquidlasagna · Rating 4 out of 5]

Some think the two Rudin books and this one is a good core set of books

assuming you get a few books to prepare you for tackling Rudin properly