location:  Publications → journals
Search results

Search: All articles in the CMB digital archive with keyword diagonal operators

 Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2004 (vol 47 pp. 615)

Randrianantoanina, Narcisse
 $C^*$-Algebras and Factorization Through Diagonal Operators Let $\cal A$ be a $C^*$-algebra and $E$ be a Banach space with the Radon-Nikodym property. We prove that if $j$ is an embedding of $E$ into an injective Banach space then for every absolutely summing operator $T:\mathcal{A}\longrightarrow E$, the composition $j \circ T$ factors through a diagonal operator from $l^{2}$ into $l^{1}$. In particular, $T$ factors through a Banach space with the Schur property. Similarly, we prove that for $2 Keywords:$C^*\$-algebras, summing operators, diagonal operators,, Radon-Nikodym propertyCategories:46L50, 47D15
 top of page | contact us | privacy | site map |