6533b854fe1ef96bd12aec30

RESEARCH PRODUCT

Unconditionally convergent multipliers and Bessel sequences

Antonio GalbisCarmen FernándezEva Primo

subject

Discrete mathematicsConjectureApplied Mathematics010102 general mathematicsScalar (mathematics)Mathematics::Classical Analysis and ODEsHilbert space01 natural sciencesFunctional Analysis (math.FA)Mathematics - Functional AnalysisMultiplier (Fourier analysis)030507 speech-language pathology & audiology03 medical and health sciencessymbols.namesakeBessel polynomialsFOS: MathematicssymbolsUnconditional convergence0101 mathematics0305 other medical scienceAnalysisBessel functionMathematics

description

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.

yearjournalcountryeditionlanguage
2016-03-10Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2017.05.054