2 citations · 3 across the 5 of their papers we have counts for
6 papers
Orthogonal -sets and extreme non-Arens regularity of preduals of von Neumann algebras
Mahmoud Filali, Jorge Galindo
We propose a new definition for a Banach algebra to be extremely non-Arens regular, namely that the quotient of $\mat…
On the extreme non-Arens regularity of Banach algebras
Mahmoud Filali, Jorge Galindo
As is well-know, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper we show that -bases which approximate upper and low…
Algebraic structure of semigroup compactifications: Pym's and Veech's Theorems and strongly prime points
Mahmoud Filali, Jorge Galindo
The spectrum of an admissible subalgebra of , the algebra of right uniformly continuous functions on a locally compact group , constitutes a s…
Interpolation sets and the size of quotients of function spaces on a locally compact group
Mahmoud Filali, Jorge Galindo
We devise a fairly general method for estimating the size of quotients between algebras of functions on a locally compact group. This method is based on the concept of interpolatio…
Extreme non-Arens regularity of the group algebra
Mahmoud Filali, Jorge Galindo
Following Granirer, a Banach algebra A is extremely non-Arens regular when the quotient space A*/WAP(A) contains a closed linear subspace which has A* as a continuous linear image.…
Approximable WAP- and LUC-interpolation sets
Jorge Galindo, Mahmoud Filali
Extending and unifying concepts extensively used in the literature, we introduce the notion of approximable interpolation sets for algebras of functions on locally compact groups,…