Factorization of completely bounded weakly compact operators

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

We prove that in the setting of operator spaces the result of Davis, Figiel,
Johnson and Pelczynski on factoring weakly compact operators holds
accordingly. Though not related directly to the main theorem we add a remark
on the description of weakly compact subsets in the dual of noncommutative
vector valued ${\rm L}_1$.

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