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Functional Analysis: An Introduction
Author(s): Yuli Eidelman (Author), Vitali Milman (Author), Antonis Tsolomitis (Author)
- Publisher: American Mathematical Society
- Publication Date: November 23, 2004
- Language: English
- Print length: 322 pages
- ISBN-10: 0821836463
- ISBN-13: 9780821836460
Book Description
The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book.
The text is ideal for a one-year course. It will also provide a sound basis for further study. It is suitable for graduate students and researchers interested in operator theory and functional analysis.
Editorial Reviews
Review
This is a gentle introduction to functional analysis that is clearly written and comes with detailed, elegant and effective proofs and well-chosen examples. … This book is written with great care and with much sympathy to the reader. It is pleasant to read… It is simply a good book to learn the foundations of functional analysis. –Zentralblatt MATH
Each chapter includes exercises, in total 195 of the them, all provided with solutions at the end of the book. The text is as self-contained as possible… The authors have taken special care to be brief and not to overload the students with the enormous amount of information available on the subject. –EMS Newsletter
