000			01733nam a22002417a 4500
003			IIITD
005			20240205173737.0
008			240205b xxu||||| |||| 00| 0 eng d
020			_a9788195196135
040			_aIIITD
082			_a515.7 _bKES-F
100			_aKesavan, S.
245			_aFunctional analysis _cby S. Kesavan
260			_bHindustan Book Agency, _aNew Delhi : _c©2022
300			_axii, 287 p. ; _c23 cm.
500			_aThis 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.
505			_t1. Preliminaries _t2. Normed Linear Spaces _t3. Hahn-Banach Theorems _t4. Baire’s Theorem and Applications _t5. Weak and Weak* Topologies _t6. L p Spaces _t7. Hilbert Spaces _t8. Compact Operators
650			_aFunctional analysis
650			_aCompact operators
650			_aHilbert space
650			_aVector spaces
942			_2ddc _cBK
999			_c172137 _d172137