Jorge Galindo

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math.FA2025

A note on a question of Garth Dales: Arens regularity as a three space property

Mahmoud Filali, Jorge Galindo

Garth Dales asked whether a Banach algebra $A$ having an Arens regular closed ideal $J$ with Arens regular quotient $A / J$ is necessarily Are…

math.FA2024

$ℓ^{1}$ -bases, algebraic structure and strong Arens irregularity of Banach algebras in harmonic analysis $^{1}$

Mahmoud Filali, Jorge Galindo

A long standing problem in abstract harmonic analysis concerns the strong Arens irregularity (sAir, for short) of the Fourier algebra $A (G)$ of a locally compact group $G .$ The gro…

math.FA2024

Positive definite functions as uniformly ergodic multipliers of the Fourier algebra

Jorge Galindo, Enrique JordÃ¡, Alberto RodrÃguez-Arenas

Let G be a locally compact group and let $I ¨ $ be a positive definite function on G with $I ¨ (e) = 1$ . This function defines a multiplication operator $M_{I ¨} $ on the Fourier algebra $A(…

math.FA2024

Arens regularity and irregularity of ideals in Fourier and group algebras

Reza Esmailvandi, Mahmoud Filali, Jorge Galindo

Let $A$ be a weakly sequentially complete Banach algebra containing a bounded approximate identity that is an ideal in its second dual $A^{**}$ , we call s…

A note on a question of Garth Dales: Arens regularity as a three space property

ℓ1-bases, algebraic structure and strong Arens irregularity of Banach algebras in harmonic analysis1

Positive definite functions as uniformly ergodic multipliers of the Fourier algebra

Arens regularity and irregularity of ideals in Fourier and group algebras

$ℓ^{1}$ -bases, algebraic structure and strong Arens irregularity of Banach algebras in harmonic analysis $^{1}$