Generalization of a real-analysis result to a class of topological vector spaces

  • Leonard T. Huang University of Nevada, Reno
Keywords: Topological vector spaces, locally convex topological vector spaces, p-homogeneous seminorms, random variables, convergence in probability

Abstract

In this paper, we generalize an elementary real-analysis result to a class of topological vector spaces. We also give an example of a topological vector space to which the result cannot be generalized.

Author Biography

Leonard T. Huang, University of Nevada, Reno

Department of Mathematics & Statistics

University of Nevada, Reno

1664 North Virginia Street

Reno

Nevada 89557

United States of America

Published
2020-09-04
Section
Articles