Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774491 | Journal of Mathematical Analysis and Applications | 2017 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Carmen Fernández, Antonio Galbis, Eva Primo,