Normed Linear Spaces |
Contents
Linear Spaces | 1 |
Normed Linear Spaces | 27 |
Completeness Compactness and Reflexivity | 53 |
Copyright | |
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AB)-lattice Acad AL)-space Amer b₁ Banach spaces basis Cauchy closed convex closed linear subspace closure co(S completely regular cone conjugate space contains continuous functions continuous linear convergent convex hull convex set convex spaces Corollary countable defined Definition dense elements equivalent exists extension extreme points finite-dimensional Fréchet Hahn-Banach Hausdorff space Hence Hilbert space homeomorphic hyperplane implies inner-product space isometric isomorphic Krein L₁ l¹(S Lemma Lindenstrauss linear function linear operators linear subspace linear topological spaces linearly independent locally convex mapping Mil'man Nauk normed linear space normed space Proc projection proof properties prove reflexive space Russian semigroups separable sequence shows Studia Math Theorem theory topological spaces topology Trans uniformly rotund unit ball upper bound vector lattice vector spaces w-compact w*-closed w*-convergent weak weakly wedge x₁