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pro vyhledávání: '"Filali, Mahmoud"'
Autor:
Filali, Mahmoud, Galindo, Jorge
A long standing problem in abstract harmonic analysis concerns the strong Arens irregularity (sAir, for short) of the Fourier algebra $A(G)$ of a locally compact group $G.$ The groups for which $A(G)$ is known to be sAir are all amenable. So far this
Externí odkaz:
http://arxiv.org/abs/2412.15029
Autor:
Filali, Mahmoud, Galindo, Jorge
Garth Dales asked whether a Banach algebra $\mA$ with an Arens regular closed ideal $\mJ$ and an Arens regular quotient $\mA/\mJ$ is necessarily Arens regular. We prove in this note that, for a class of Banach algebras including the standard algebras
Externí odkaz:
http://arxiv.org/abs/2407.09947
Let $\mathcal{A}$ be a weakly sequentially complete Banach algebra containing a bounded approximate identity that is an ideal in its second dual $\mathcal{A}^{\ast\ast}$, we call such an algebra a Wesebai algebra. In the present paper we examine the
Externí odkaz:
http://arxiv.org/abs/2404.00296
Autor:
Filali, Mahmoud, Galindo, Jorge
We propose a new definition for a Banach algebra $\mathfrak{A}$ to be extremely non-Arens regular, namely that the quotient $\mathfrak{A}^\ast/\mathscr{WAP}(\mathfrak{A})$ of $\mathfrak{A}^\ast$ with the space of its weakly almost periodic elements c
Externí odkaz:
http://arxiv.org/abs/2006.00851
Autor:
Filali, Mahmoud, Galindo, Jorge
As is well-know, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper we show that $\ell^1$-bases which approximate upper and lower triangles of products of elements in the algebra produce large sets
Externí odkaz:
http://arxiv.org/abs/1910.14027
Autor:
Filali, Mahmoud, Galindo, Jorge
Publikováno v:
Published as: J. Math. Anal. Appl. 456 (2017), no. 1, 117-150
The spectrum of an admissible subalgebra $\mathscr{A}(G)$ of $\mathscr{LUC}(G)$, the algebra of right uniformly continuous functions on a locally compact group $G$, constitutes a semigroup compactification $G^\mathscr{A}$ of $G$. In this paper we ana
Externí odkaz:
http://arxiv.org/abs/1709.09355
Autor:
Filali, Mahmoud, Salmi, Pekka
Publikováno v:
In Journal of Functional Analysis 15 June 2020 278(11)
Autor:
Filali, Mahmoud, Galindo, Jorge
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 interpolation sets and unifies the approaches followed by many authors to obtain p
Externí odkaz:
http://arxiv.org/abs/1307.4941
Autor:
Filali, Mahmoud, Galindo, Jorge
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. We prove that the group algebra L^1(G) of any infinite locally compac
Externí odkaz:
http://arxiv.org/abs/1307.1000