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Introduction to Functional Analysis

Introduction to Functional Analysis

by Robinson, James C
No customer reviews yet ISBN 9780521899642 Cambridge University Press

This accessible text covers key results in functional analysis that are essential for further study in the calculus of variations, analysis, dynamical systems, and the theory of partial differential equations. The treatment of Hilbert spaces covers the topics required to prove the Hilbert-Schmidt theorem, including orthonormal bases, the Riesz representation theorem, and the basics of spectral theory. The material on Banach spaces and their duals includes the Hahn-Banach theorem, the Krein-Milman theorem, and results based on the Baire category theorem, before culminating in a proof of sequential weak compactness in reflexive spaces. Arguments are presented in detail, and more than 200 fully-worked exercises are included to provide practice applying techniques and ideas beyond the major theorems. Familiarity with the basic theory of vector spaces and point-set topology is assumed, but knowledge of measure theory is not required, making this book ideal for upper undergraduate-level and beginning graduate-level courses.

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BrandCambridge University Press
Pub dateMar 12, 2020
ISBN-100521899648
ISBN-139780521899642
Hardcover416.0 pages
LanguageEnglish
Dimensions9.25 × 1 × 6.25 in
Weight2 lb
Last updated 2026-03-12 02:45
$127.59
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