000			01833 a2200241 4500
999			_c55418 _d55418
008			210908b ||||| |||| 00| 0 eng d
020			_a9789380250625
082			_a515.7 _bKES
100			_aKesavan, S
245			_aFunctional analysis
260			_bHindustan Book Agency, _c2017. _aNew Delhi:
300			_ax, 269p. ; _bpb. ; _c24cm.
365			_aINR _b550.00
440			_aText and Readings in Mathematics
504			_aIncludes bibliography and index
520			_aThe material presented in this book is suited for the 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
650			_aFunctional analysis
650			_aVector spaces
650			_aCompact operators
650			_aHilbert space
650			_aMathematics
942			_2ddc _cTD