000			a
999			_c34009 _d34009
008			250612b xxu||||| |||| 00| 0 eng d
020			_a9780486322612
082			_a517.5 _bBAC
100			_aBachman, George
245			_aFunctional analysis
260			_bDover Publications, _c1966 _aNew York :
300			_axii, 532 p. ; _bill., _c25 cm
365			_b995.00 _c₹ _d01
490			_aAcademic Press textbooks in mathematics
504			_aIncludes bibliographical references.
520			_aExcellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related subjects. Chapters conclude with exercises intended to test and reinforce reader's understanding of text material. A glossary of definitions, detailed proofs of theorems, bibliography, and index of symbols round out this comprehensive text. 1966 edition.
650			_aFunctional Analysis
650			_aInner-product spaces
650			_aNormed and metric spaces
650			_aTopological spaces
650			_aComplete orthonormal sets
650			_aHahn-Banach theorem
650			_aSpectral notions
650			_aSquare roots
650			_aSpectral decomposition theorem
700			_aNarici, Lawrence
942			_2ddc _cBK