Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces
Functional Analysis
2019-04-23 v1
Abstract
Let be a seminorm on an infinite-dimensional real or complex vector space . Our purpose in this note is to study the continuity and discontinuity properties of with respect to certain norm-topologies on .
Cite
@article{arxiv.1904.09423,
title = {Continuity and Discontinuity of Seminorms on Infinite-Dimensional Vector Spaces},
author = {Jacek Chmieliński and Moshe Goldberg},
journal= {arXiv preprint arXiv:1904.09423},
year = {2019}
}
Comments
5 pages