000			a
999			_c31943 _d31943
008			230419b xxu||||| |||| 00| 0 eng d
020			_a9789393330239
082			_a515.7 _bTOR
100			_aTorchinsky, Alberto
245			_aProblems in real and functional analysis
260			_bAmerican Mathematical Society, _a2022 _cProvidence :
300			_ax, 467 p. ; _bill., _c24 cm
365			_b1875.00 _cINR _d01
490			_aGraduate studies in mathematics ; volume 166
504			_aIncludes bibliographical references and index.
520			_aIt is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapt.
650			_aFunctional analysis
650			_aConceptual problems
650			_aBanach space
650			_a Borel measure
650			_aBounded linear function
650			_aContinuous function
650			_aDiscuss the validity
650			_aHamel basis
650			_aHilbert space
650			_aHolder's inequality
650			_aLebesgue measure
650			_aMeasurable function
650			_aMeasure space
650			_aNormal linear space
650			_a Probability measure
942			_2ddc _cBK