Few operators on Banach spaces C₀(L× L)

2024/09/16 by Candido, Leandro
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2409.10477

Abstract

Using Ostaszewski's \clubsuit-principle, we construct a non-metrizable, locally compact, scattered space L in which the operators on the Banach space C₀(L × 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 C₀(L × L).

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• Spaceability in sets of operators on C(K)
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