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Keywords:
operator spaces; isomorphic properties; approximation properties
operator spaces; isomorphic properties; approximation properties
Summary:
We show that the equality $W(E,F^\ast )=K(E,F^\ast )$ is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product $E \otimes _\pi F$ of two Banach spaces under some approximation property type assumptions.
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