#### Filter Results:

- Full text PDF available (4)

#### Publication Year

1994

2012

- This year (0)
- Last 5 years (1)
- Last 10 years (1)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Fouad Chaatit
- 1996

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. As a consequence, we can then represent homeomorphically its space of types.

- F. Chaatit
- 1995

We prove that if X is an infinite dimensional Banach lattice with a weak unit then there exists a probability space (Ω,Σ, μ) so that the unit sphere S(L1(Ω,Σ, μ) is uniformly homeomorphic to the unit sphere S(X) if and only if X does not contain l ∞’s uniformly.

- Tajje-eddine Rachidi, Asmaa Mourhir, F. Chaatit
- IJMCMC
- 2012

We prove that a Banach lattice X which does not contain the ln ∞uniformly has an equivalent norm which is uniformly Kadec-Klee for a natural topology τ on X. In case the Banach lattice is purely atomic, the topology τ is the coordinatewise convergence topology. 1980 Mathematics Subject Classification: Primary 46B03, 46B42.

- Fouad Chaatit
- 1999

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 of DSC(K) and the class PS(K) of pointwise stabilizing functions on K are obtained in terms of behavior restricted to ambiguous sets. The main, extrinsic characterization is given… (More)

- ‹
- 1
- ›