Geodesic
On operators from $\ell_{s}$ to $\ell_{p}\widehat{\otimes}\ell_{q}$ or to $\ell_{p}\widehat{\widehat{\otimes}}\ell_{q}$
Christian Samuel1
1 LATP Laboratoire Analyse, Topologie, Probabilités Faculté des Sciences et Techniques Université Aix-Marseille 3 13397 Marseille Cedex 20, France
Colloquium Mathematicum, Tome 121 (2010) no. 1, pp. 25-33.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that every operator from $\ell_{s}$ to $\ell_{p}\mathbin{\widehat{\otimes}}\ell_{q}$ is compact when $1\leq p,q s$ and that every operator from $\ell_{s}$ to $\ell_{p}\mathbin{\widehat{\widehat{\otimes}}}\ell_{q}$ is compact when $ 1/p+1/q>1+1/s. $
DOI : 10.4064/cm121-1-3
Keywords: every operator ell ell mathbin widehat otimes ell compact leq every operator ell ell mathbin widehat widehat otimes ell compact

Christian Samuel 1

1 LATP Laboratoire Analyse, Topologie, Probabilités Faculté des Sciences et Techniques Université Aix-Marseille 3 13397 Marseille Cedex 20, France 
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Christian Samuel. On operators from $\ell_{s}$ to 
$\ell_{p}\widehat{\otimes}\ell_{q}$ or to $\ell_{p}\widehat{\widehat{\otimes}}\ell_{q}$. Colloquium Mathematicum, Tome 121 (2010) no. 1, pp. 25-33. doi : 10.4064/cm121-1-3. http://geodesic.mathdoc.fr/articles/10.4064/cm121-1-3/

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