Series and power series on universally complete complex vector lattices
Functional Analysis
2018-03-30 v2
Abstract
In this paper we prove an th root test for series as well as a Cauchy-Hadamard type formula and Abel's' theorem for power series on universally complete Archimedean complex vector lattices. These results are aimed at developing an alternative approach to the classical theory of complex series and power series using the notion of order convergence.
Keywords
Cite
@article{arxiv.1803.07912,
title = {Series and power series on universally complete complex vector lattices},
author = {Mark Roelands and Christopher Schwanke},
journal= {arXiv preprint arXiv:1803.07912},
year = {2018}
}