01708nam a22002417a 450000500170000000800410001702000180005802800910007608200140016710000200018124500420020126000470024330000240029036500080031449000320032250505950035452004280094965000160137765000120139365000190140570000200142470000220144420220331200344.0220331b        |||||||| |||| 00| 0 eng d  a9780486322612  a:Technical Bureau India Pvt. Ltd. b:E/261, Shastri Nagar Delhic:TB5810d:25/03/2022	  a517.5 BAC  aBachman, George  aFunctional Analysisc/ George Bachman  aNew .York .b : Dover Publications,c@2000  axii, 532p. c24cm.   b995  aDover books on mathematics.  aCover; Title Page; Copyright Page; Preface; Contents; CHAPTER 1. Introduction to Inner Product Spaces; 1.1 Some Prerequisite Material and Conventions; 1.2 Inner Product Spaces; 1.3 Linear Functionals, the Riesz Representation Theorem, and Adjoints; Exercises 1; References; CHAPTER 2. Orthogonal Projections and the Spectral Theorem for Normal Transformations; 2.1 The Complexification; 2.2 Orthogonal Projections and Orthogonal Direct Sums; 2.3 Unitary and Orthogonal Transformations; Exercises 2; References; CHAPTER 3. Normed Spaces and Metric Spaces; 3.1 Norms and Normed Linear Spaces.  aExcellent treatment of subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. Includes detailed proofs of theorems, bibliography, and index of symbols. 1966 edition.  aMathematics  aMatric   aBanach Algebra  aBachman, George  aNarici, Lawrence