Geodesic
Pietsch integral operators defined on injective tensor products of spaces and applications
Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 227-230

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For X and Y Banach spaces, let X⊗εY, be the injective tensor product. If Z is also a Banach space and U ∊ L(X⊗εY,Z) we consider the operatorWe prove that if U ∊ PI(X⊗εY, Z), then U# ∊ I(X, PI(Y,Z)). This result is then applied in the case of operators defined on the space of all X-valued continuous functions on the compact Hausdorff space T. We obtain also an affirmative answer to a problem of J. Diestel and J. J. Uhl about the RNP property for the space of all nuclear operators; namely if X* and Y have the RNP and Y can be complemented in its bidual, then N(X, Y) has the RNP. 
Popa, Dumitru. Pietsch integral operators defined on injective tensor products of spaces and applications. Glasgow mathematical journal, Tome 39 (1997) no. 2, pp. 227-230. doi: 10.1017/S0017089500032110
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