关于八面体和Müntz空间

Pub Date : 2020-09-03 DOI:10.7146/math.scand.a-119844

Andr'e Martiny

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引用次数: 1

摘要

我们证明了每个Muntz空间都可以写成Banach空间X和Y的直和，其中Y几乎等距于c的子空间，X是有限维的。我们应用它来证明没有一个Muntz空间是局部八面体或几乎正方形的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On octahedrality and Müntz spaces

We show that every Muntz 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 Muntz space is locally octahedral or almost square.

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