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arXiv · 2003.06014

The space consisting of uniformly continuous functions on a metric measure space with the $L^p$ norm

Katsuhisa Koshino
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Abstract

In this paper, we shall show that the space of real-valued uniformly continuous functions on a metric measure space with the $L^p$ norm is homeomorphic to the subspace consisting of sequences conversing to $0$ in the pseudo interior.

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Katsuhisa Koshino. 2020-03-12. The space consisting of uniformly continuous functions on a metric measure space with the $L^p$ norm. https://arxiv.org/abs/2003.06014

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