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

Candido, Leandro; Kaufmann, Pedro

doi:10.1090/proc/15420

On the geometry of Banach spaces of the form $\mathrm {Lip}_0(C(K))$
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by Leandro Candido and Pedro L. Kaufmann

Proc. Amer. Math. Soc. 149 (2021), 3335-3345

DOI: https://doi.org/10.1090/proc/15420

Published electronically: May 13, 2021

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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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On the geometry of Banach spaces of the form $\mathrm {Lip}_0(C(K))$
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Abstract: