An Introduction to Functional Analysis

Language: English

Published by Cambridge University Press, GB, 2020

0521728398 / 9780521728393

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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.…

Seller Inventory # LU-9780521728393

Title
An Introduction to Functional Analysis
Author
James C. Robinson
Publisher
Cambridge University Press, GB
Publication year
2020
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521728398
ISBN 13
9780521728393
Item weight
600 grams

Rarewaves.com UK

London, United Kingdom

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