Unconditionally convergent multipliers and Bessel sequences
Functional Analysis
2016-11-15 v2
Abstract
We prove that every unconditionally summable sequence in a Hilbert space can be factorized as the product of a square summable scalar sequence and a Bessel sequence. Some consequences on the representation of unconditionally convergent multipliers are obtained, thus providing positive answers to a conjecture by Balazs and Stoeva in some particular cases.
Keywords
Cite
@article{arxiv.1603.03216,
title = {Unconditionally convergent multipliers and Bessel sequences},
author = {Carmen Fernández and Antonio Galbis and Eva Primo},
journal= {arXiv preprint arXiv:1603.03216},
year = {2016}
}