000			01993nam a2200301Ia 4500
003			OSt
005			20250313161707.0
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020			_a9789360743635 (pbk.) _c₹ 595.00
040			_bENG _cIISER-BPR
041			_aENG
082			_a515.7 _bLIM _223rd
100			_aLimaye, Balmohan V. _93451
222			_aMathematics
245		0	_aFunctional analysis
250			_a3rd ed.
260			_aNew Delhi: _bNew Age International, _cc2025.
300			_axii, 620p. : _bill. ; _c24cm
504			_aIncludes illustrations, appendices, bibliography, list of symbols and index.
520			_aThis book is an introductory text written with minimal prerequisites. The plan is to impose a distance structure on a linear space, exploit it fully, and then introduce additional features one by one, only when we cannot get any further without them. The book naturally falls into two parts, and each of them is developed independently of the other. The first part deals with normed spaces, their completeness and continuous linear maps on them, and includes the theory of compact operators. A much shorter second part treats inner product spaces, their completeness, and leads to the spectral theorem for compact self-adjoint operators. Four appendices on Fixed Points, Extreme Points, Sturm-Liouville Problems and Unbounded Operators indicate further areas of development. Emphasis is given on examples which illustrate abstract concepts, and on applications of results proved in the text. In addition to proving existence and uniqueness of the solution of a problem, an approximate construction of the solution is pointed out. Problems of varying degrees of difficulty are given at the end of each of the 24 sections. The statement of each problem contains its answer.
650			_aMathematics _93452
650			_aAnalysis _93453
650			_aFunctional Analysis _93454
942			_cBK _2ddc
942			_2ddc
947			_a450
948			_a0.22
999			_c4085 _d4085