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http://dx.doi.org/10.4134/CKMS.c200040

ON MULTIPLIER WEIGHTED-SPACE OF SEQUENCES

Bouchikhi, Lahcen (Universite Mohammed V Eecole Normale Superieure de Rabat)
El Kinani, Abdellah (Universite Mohammed V Eecole Normale Superieure de Rabat)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.4, 2020 , pp. 1159-1170 More about this Journal

Abstract

We consider the weighted spaces ℓ^p(𝕊, 𝜑) and ℓ^p(𝕊, 𝜓) for 1 < p < +∞, where 𝜑 and 𝜓 are weights on 𝕊 (= ℕ or ℤ). We obtain a sufficient condition for ℓ^p(𝕊, 𝜓) to be multiplier weighted-space of ℓ^p(𝕊, 𝜑) and ℓ^p(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 ℓ^p(ℤ,𝜓) is a convolutive algebra.

Keywords

Weight function; m-convolutive; weighted algebra; multiplier weighted space; commutative Banach algebra with unit;

Citations & Related Records

Reference

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