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arXiv 1402.26602014-02math.FA

等距 universally 的 Banach 空间与单调 Schauder 基

An isometrically universal Banach space with a monotone Schauder basis

Joanna Garbulińska-Wȩgrzyn

备注：: This paper contains an error in the proof

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AI总结：

本文提出一个等距互补 universal Banach 空间 B，具有单调 Schauder 基，并与 Pełczyński 的 universal 基空间及 Kadec 的互补 universal 空间相关联。

摘要：

我们提出了一个等距版本的互补 universal Banach 空间 B，具有单调 Schauder 基。空间 B 与 Pełczyński 的具有 universal 基的 space 以及 Kadec 的具有有界近似性质的互补 universal 空间是等距的。

英文摘要：

We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pełczyński's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property.

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