期刊论文详细信息
Canadian mathematical bulletin
$C^*$-Algebras and Factorization Through Diagonal Operators
关键词: $C^*$-algebras;    summing operators;    diagonal operators;    Radon-Nikodym property;   
DOI  :  10.4153/CMB-2004-059-9
学科分类:数学(综合)
来源: University of Toronto Press * Journals Division
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【 摘 要 】

Let $cal A$ be a $C^*$-algebra and $E$ be a Banach space withthe Radon-Nikodym property. We prove that if $j$ is an embeddingof $E$ into an injective Banach space then for every absolutelysumming 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 withthe Schur property. Similarly, we prove that for $2

【 授权许可】

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