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

Leandro Candido

doi:10.1016/j.topol.2025.109577

paper

Few operators on Banach spaces $C_{0} (L \times L)$

arXiv:2409.10477 · doi:10.1016/j.topol.2025.109577

Abstract

Using Ostaszewski's $♣$ -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 $C_{0} (L \times L)$ .

Few operators on Banach spaces C0​(L×L)

Abstract

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Few operators on Banach spaces $C_{0} (L \times L)$