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
Positive definite functions as uniformly ergodic multipliers of the Fourier algebra
Jorge Galindo, Enrique Jordá, Alberto RodrÃguez-Arenas
Let G be a locally compact group and let be a positive definite function on G with . This function defines a multiplication operator on the Fourier algebra $A(…