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arXiv · 2409.10477

Few operators on Banach spaces $C_0(L\times L)$

Leandro Candido
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Abstract

Using Ostaszewski's $\clubsuit$-principle, we construct a non-metrizable, locally compact, scattered space $L$ in which the operators on the Banach space $C_0(L \times L)$ exhibit a remarkably simple structure. We provide a detailed analysis and, through a series of decomposition steps, offer an explicit characterization of all operators on $C_0(L \times L)$.

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Leandro Candido. 2024-09-16. Few operators on Banach spaces $C_0(L\times L)$. https://doi.org/10.1016/j.topol.2025.109577

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