Orlicz-Pettis polynomials on Banach spaces
Functional Analysis
2016-08-15 v1
Abstract
We introduce the class of Orlicz-Pettis polynomials between Banach spaces, defined by their action on weakly unconditionally Cauchy series. We give a number of equivalent definitions, examples and counterexamples which highlight the differences between these polynomials and the corresponding linear operators.
Cite
@article{arxiv.math/0003020,
title = {Orlicz-Pettis polynomials on Banach spaces},
author = {Manuel González and Joaquín M. Gutiérrez},
journal= {arXiv preprint arXiv:math/0003020},
year = {2016}
}
Comments
10 pages