• openAccess   Arens regularity of ideals of the group algebra of a compact Abelian group 

      Esmailvandi, Reza; Filali, Mahmoud; Galindo, Jorge Cambridge University Press (2023-10-27)
      Let G be a compact Abelian group and E a subset of the group Gˆ of continuous characters of G . We study Arens regularity-related properties of the ideals L1E(G) of L1(G) that are made of functions whose ...
    • openAccess   On the extreme non-Arens regularity of Banach algebras 

      Filali, Mahmoud; Galindo, Jorge Wiley (2021-07-04)
      As is well-known, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper, we show that 1-bases which approximate upper and lower triangles of products of elements in the ...
    • openAccess   Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras 

      Filali, Mahmoud; Galindo, Jorge Elsevier (2022-03-04)
      A Banach algebra is Arens-regular when all its continuous functionals are weakly almost periodic, in symbols when ⁎ . To identify the opposite behaviour, Granirer called a Banach algebra extremely non-Arens regular ...
    • openAccess   Sampling Almost Periodic and Related Functions 

      Ferri, Stefano; Galindo, Jorge; Gómez, Camilo Springer (2020-10)
      We consider certain finite sets of circle-valued functions defined on intervals of real numbers and estimate how large the intervals must be for the values of these functions to be uniformly distributed in an approximate ...