arXiv Analytics

Sign in

arXiv:2003.06014 [math.FA]AbstractReferencesReviewsResources

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

Katsuhisa Koshino

Published 2020-03-12Version 1

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.

Categories: math.FA, math.GN
Subjects: 54C35, 57N20, 57N17, 46E15, 46E30, 28A20
Related articles: Most relevant | Search more
arXiv:1903.07166 [math.FA] (Published 2019-03-17)
The Einstein Relation on Metric Measure Spaces
arXiv:1710.07953 [math.FA] (Published 2017-10-22)
Characterizations of monotonicity of vector fields on metric measure space
arXiv:1304.0643 [math.FA] (Published 2013-04-02, updated 2013-05-17)
Self-improvement of the Bakry-Émery condition and Wasserstein contraction of the heat flow in RCD(K,\infty) metric measure spaces

Links

Toolbox