Unconditionally convergent multipliers and Bessel sequences

2016/03/10 by Fernández, Carmen, Galbis, Antonio, Primo, Eva
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1603.03216

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.

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