On multiplier weighted-space of sequences
Commun. Korean Math. Soc.
Published online September 14, 2020
Abdellah EL KINANI and Lahcen BOUCHIKHI
Professeur
Abstract : We consider the weighted spaces ℓp(S, φ) and ℓp(S, ψ), for 1 < p < +∞,
where φ and ψ are weights on S (= N or Z). We obtain a sufficient condition for ℓp(S, ψ) to be multiplier weighted-space of ℓp(S, φ) and ℓp(S, ψ).
Our condition characterizes the last multiplier weighted-space in the case
where S = Z. As a consequence, in the particular case where ψ = φ, the
weighted space ℓp(Z,ψ) is a convolutive algebra.
Keywords : Weight function, m-convolutive, weighted algebra, multiplier weighted space, commutative Banach algebra with unit
MSC numbers : 46J10 46H30.
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