3 papers
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
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
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…