1977Canadian Mathematical BulletinOpen access

On the Duals of Flat Banach Spaces

Abraham Bick

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Abstract

Abstract We give a simpler proof to a theorem of L. A. Karlovitz that the dual of a flat Banach space is flat, and also study some geometric properties of the dual space.

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Abstract We give a simpler proof to a theorem of L. A. Karlovitz that the dual of a flat Banach space is flat, and also study some geometric properties of the dual space.

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Available abstract

Abstract We give a simpler proof to a theorem of L. A. Karlovitz that the dual of a flat Banach space is flat, and also study some geometric properties of the dual space.

Key concepts: Dual polyhedron, Mathematics, Banach space, Dual (grammatical number), Eberlein–Šmulian theorem, Space (punctuation), Banach manifold, Pure mathematics

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