1 citations · 2 across the 5 of their papers we have counts for
5 papers
On Differences of Semi-Continuous Functions
Fouad Chaatit, Haskell P. Rosenthal
Extrinsic and intrinsic characterizations are given for the class DSC(K) of differences of semi-continuous functions on a Polish space K, and also decomposition characterizations o…
A Representation of Stable Banach Spaces
Fouad Chaatit
We show that any separable stable Banach space can be represented as a group of isometries on a separable reflexive Banach space, which extends a result of S. Guerre and M. Levy. A…
Uniform Kadec-Klee Property in Banach lattices
Fouad Chaatit, M. Khamsi
We prove that a Banach lattice which does not contain the -uniformly has an equivalent norm which is uniformly Kadec-Klee for a natural topology on . In ca…
On Functions of Finite Baire Index
Fouad Chaatit, Vania Mascioni, Haskell P. Rosenthal
It is proved that every function of finite Baire index on a separable metric space is a -function, i.e., a difference of bounded semi-continuous functions on . In fact it…
On Uniform Homeomorphisms of the Unit Spheres of Certain Banach Lattices
Fouad Chaatit
We prove that if X is an infinite dimensional Banach lattice with a weak unit then there exists a probability space (Omega, Sigma,mu) so that the unit sphere S(L_1(Omega, Sigma, mu…