Functional Analysis
S. Kesavan(Author)
Hindustan Book Agency (Publisher)
Published on 15. January 2009
Book
Hardback
282 pages
978-81-85931-87-6 (ISBN)
Description
The material presented in this book is suited for a first course in Functional Analysis which can be followed by Masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would like to pursue a research career in the applications of mathematics. The book includes a chapter on weak and weak topologies and their applications to the notions of reflexivity, separability and uniform convexity. The chapter on the Lebesgue spaces also presents the theory of one of the simplest classes of Sobolev spaces. The book includes a chapter on compact operators and the spectral theory for compact self-adjoint operators on a Hilbert space. Each chapter has large collection of exercises at the end. These illustrate the results of the text, show the optimality of the hypotheses of various theorems via examples or counterexamples, or develop simple versions of theories not elaborated upon in the text.
More details
Series
Language
English
Place of publication
New Delhi
India
Target group
College/higher education
Illustrations
282 p.
Dimensions
Height: 235 mm
Width: 155 mm
ISBN-13
978-81-85931-87-6 (9788185931876)
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Schweitzer Classification
Other editions
Additional editions

S. Kesavan
Functional Analysis
E-Book
01/2009
1st Edition
Hindustan Book Agency
€42.79
Available for download
Content
1. Preliminaries; 2. Normed Linear Spaces; 3. Hahn-Banach Theorems; 4. Baire's Theorem and Applications; 5. Weak and Weak* Topologies; 6. L p Spaces; 7. Hilbert Spaces; 8. Compact Operators; Bibliography; Index.