The space consisting of uniformly continuous functions on a metric measure space with the $L^p$ norm
Functional Analysis
2020-05-26 v2 General Topology
Abstract
In this paper, we shall show that the space of real-valued uniformly continuous functions on a metric measure space with the norm is homeomorphic to the subspace consisting of sequences conversing to in the pseudo interior.
Cite
@article{arxiv.2003.06014,
title = {The space consisting of uniformly continuous functions on a metric measure space with the $L^p$ norm},
author = {Katsuhisa Koshino},
journal= {arXiv preprint arXiv:2003.06014},
year = {2020}
}
Comments
Theorem 1.1 has been revised on the separability of Lp space. (The main result and its argument are not changed.)