Functional analysis
Kesavan, S.
Functional analysis by S. Kesavan - New Delhi : Hindustan Book Agency, ©2022 - xii, 287 p. ; 23 cm.
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
9788195196135
Functional analysis
Compact operators
Hilbert space
Vector spaces
515.7 / KES-F
Functional analysis by S. Kesavan - New Delhi : Hindustan Book Agency, ©2022 - xii, 287 p. ; 23 cm.
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
9788195196135
Functional analysis
Compact operators
Hilbert space
Vector spaces
515.7 / KES-F