Jorge Galindo

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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 Jordá, Alberto Rodríguez-Arenas

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

math.FA2024

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

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…

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

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

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 $^{1}$