Functional analysis
Material type: TextPublication details: Hindustan Book Agency, New Delhi : ©2022Description: xii, 287 p. ; 23 cmISBN:- 9788195196135
- 515.7 KES-F
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Books | IIITD General Stacks | Mathematics | 515.7 KES-F (Browse shelf(Opens below)) | Available | 012572 | |||
Books | IIITD General Stacks | Mathematics | 515.7 KES-F (Browse shelf(Opens below)) | Not for loan | 004282 |
Reproducing Kernel Hilbert Spaces with Applications (New) UG/PG (REST) WNT24 |
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515.7 HAA-F Functional analysis : an elementary introduction | 515.7 HIR-E Elements of functional analysis | 515.7 JOH-E Exploring mathematics : | 515.7 KES-F Functional analysis | 515.7 KES-F Functional analysis | 515.7 KES-T Topics in functional analysis and application | 515.7 KIR-T Theorems and problems in functional analysis |
This second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics.
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
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