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Normed Linear Spaces
Completeness Compactness and Reflexivity
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additive algebras Amer applied asserts Banach space basis bounded called carries closed linear closure co(S compact complete contains continuous functions convergent convex hull convex set Corollary corresponding countable defined Definition dense determines discussed element equicontinuous equivalent example exists extension extreme points finite fixed follows given gives groups Hence holds homeomorphic implies independent interior isometric isomorphic James lattice least Lemma limit linear function linear operator linear subspace linearly locally convex mapping Math maximal means measure metric neighborhood normed space positive problem projection proof properties prove reflexive relatively result rotund satisfies says separable sequence shows structure Studia subset Theorem theory topological space topology Trans uniformly unit ball vector space w-compact weak weakly wedge