Omran Kouba

collaborators

3 papers

math.FA2004

On The Interpolation of Injective or Projective Tensor Products of Banach Spaces

Omran Kouba

We prove a general result on the factorization of matrix-valued analytic functions. We deduce that if $(E_{0}, E_{1})$ and $(F_{0}, F_{1})$ are interpolation pairs with dense intersections,…

math.FA2004

$H^{1}$ -Projective Banach Spaces

Omran Kouba

We study the $H^{1}$ -projective Banach spaces. We prove that they have the Analytic Radon-Nikodym Property, and that they are cotype 2 spaces which satisfy Grothendieck's Theorem. We…

math.FA2004

L'Application Canonique $J : H^{2} (X) \otimes H^{2} (X) - > H^{1} (X \otimes X)$ n'est pas Surjective en Général

Omran Kouba

We introduce the $H^{1}$ -projective property, and use it to construct a Banach space $X$ such that the natural map $J : H^{2} (X) \otimes H^{2} (X) - > H^{1} (X \otimes X)$ is not onto.

On The Interpolation of Injective or Projective Tensor Products of Banach Spaces

H1-Projective Banach Spaces

L'Application Canonique J:H2(X)⊗H2(X)−>H1(X⊗X) n'est pas Surjective en Général

$H^{1}$ -Projective Banach Spaces

L'Application Canonique $J : H^{2} (X) \otimes H^{2} (X) - > H^{1} (X \otimes X)$ n'est pas Surjective en Général