Unconditionally convergent multipliers and Bessel sequences

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Fernandez, Carmen¹  Galbis, Antonio¹  Primo, Eva¹ 

[1] Univ Valencia, Dept Anal Matemat, Dr Moliner 50, Valencia 46100, Spain

关键词: Unconditional convergence;    Bessel sequence;    Multiplier;   

DOI  :  10.1016/j.jmaa.2017.05.054

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free