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On octahedraliy and M\"untz spaces

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arxiv 1811.02011 v1 pith:RNX2U27A submitted 2018-11-05 math.FA

On octahedraliy and M\"untz spaces

classification math.FA
keywords untzalmostspacespacesapplybanachdimensionaldirect
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We show that every M\"untz space can be written as a direct sum of Banach spaces X and Y , where Y is almost isometric to a subspace of c and X is finite dimensional. We apply this to show that no M\"untz space is locally octahedral or almost square.

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