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arxiv: 1401.3612 · v1 · pith:K4AH2V7Hnew · submitted 2014-01-15 · 🧮 math.FA

Geometry of Banach spaces with an octahedral norm

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keywords octahedralspacesbanachgeometrynormballcharacterizecovering
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We discuss the geometry of Banach spaces whose norm is octahedral or, more generally, locally or weakly octahedral. Our main results characterize these spaces in terms of covering of the unit ball.

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