The existence of LUR-norms on spaces of continuous functions on Fedorchuk compacta

2018/07/17 by S. P. Gul'ko, A. V. Ivanov, Gul'ko, S. P. +5
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #math.FA #math.GN

paper · pdf · doi:10.48550/arxiv.1807.06219

in Russian

arxiv created 2018/07/17 · arxiv updated 2018/07/18

Abstract

We construct an LUR-norm on the space C(K) which is lower semicontinuous with respect to the pointwise topology for any Fedorchuk compactum of height 3.

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