On the geometry of Banach spaces of the form 𝐿𝑖𝑝₀(𝐶(𝐾))

arXiv: Functional Analysis Pub Date : 2020-10-25 DOI:10.1090/proc/15420

Leandro Candido, P. Kaufmann

引用次数: 4

Abstract

We investigate the problem of classifying the Banach spaces $\mathrm{Lip}_0(C(K))$ for Hausdorff compacta $K$. In particular, sufficient conditions are established for a space $\mathrm{Lip}_0(C(K))$ to be isomorphic to $\mathrm{Lip}_0(c_0(\varGamma))$ for some uncountable set $\varGamma$.

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关于形式为𝐿￣𝑝₀(𝐾(𝐾))的Banach空间的几何

研究了Hausdorff compacta $K$的Banach空间$\ mathm {Lip}_0(C(K))$的分类问题。特别地，对于不可数集$\varGamma$，建立了空间$\mathrm{Lip}_0(C(K))$同构于$\mathrm{Lip}_0(c_0(\varGamma))$的充分条件。

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arXiv: Functional Analysis

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