About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 41. Chapters: Banach spaces, Inner product space, Normed vector space, Lp space, Frechet derivative, Riesz-Thorin theorem, Infinite-dimensional holomorphy, Reflexive space, Interpolation space, Schauder basis, Continuous functions on a compact Hausdorff space, List of Banach spaces, Asplund space, Ba space, Dvoretzky's theorem, Birnbaum-Orlicz space, Fredholm kernel, Approximation property, There is no infinite-dimensional Lebesgue measure, Lorentz space, Dunford-Pettis property, Modulus and characteristic of convexity, Polynomially reflexive space, Tsirelson space, Strictly convex space, Ehrling's lemma, Opial property, Bounded inverse theorem, Radonifying function, Uniformly convex space, Sou ek space, Pseudo-monotone operator, B-convex space, Auerbach's lemma, Multipliers and centralizers, Quotient of subspace theorem, Normed division algebra, Banach bundle, Mazur's lemma, Hanner's inequalities, Goldstine theorem, Eberlein- mulian theorem, Quasi-derivative, C space, Aubin-Lions lemma, Clarkson's inequalities, Bs space, Besov space, Browder-Minty theorem, Method of continuity, Grothendieck space, Operator space, Minkowski distance, Milman-Pettis theorem, Maharam's theorem, Strongly measurable functions, Mazur-Ulam theorem, BK-space, Lebesgue space. Excerpt: In mathematics, the L spaces are function spaces defined using natural generalizations of p-norms for finite-dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford & Schwartz 1958, III.3), although according to Bourbaki (1987) they were first introduced by Riesz (1910). They form an important class of examples of Banach spaces in functional analysis, and of topological vector spaces. Lebesgue spaces have applications in physics, statistics, finance, engineering, and other disciplines. Unit circle (superellipse) in p = 3/2 no...
