3 papers
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 having an Arens regular closed ideal with Arens regular quotient is necessarily Are…
math.FA2024
-bases, algebraic structure and strong Arens irregularity of Banach algebras in harmonic analysis
Mahmoud Filali, Jorge Galindo
A long standing problem in abstract harmonic analysis concerns the strong Arens irregularity (sAir, for short) of the Fourier algebra of a locally compact group The gro…
math.FA2024
Arens regularity and irregularity of ideals in Fourier and group algebras
Reza Esmailvandi, Mahmoud Filali, Jorge Galindo
Let be a weakly sequentially complete Banach algebra containing a bounded approximate identity that is an ideal in its second dual , we call s…