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arXiv · 2111.13860

The complemented subspace problem for $C(K)$-spaces: A counterexample

Grzegorz Plebanek·Alberto Salguero Alarcón
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Abstract

We prove that there is a compact space $L$ and a 1-complemented subspace of the Banach space $C(L)$ which is not isomorphic to a space of continuous functions.

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Grzegorz Plebanek, Alberto Salguero Alarcón. 2021-11-27. The complemented subspace problem for $C(K)$-spaces: A counterexample. https://arxiv.org/abs/2111.13860

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