Geodesic
Some remarks on the equality $W(E,F^\ast) = K(E,F^\ast)$
Archivum mathematicum, Tome 34 (1998) no. 4, pp. 417-425.

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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.
Classification : 46B03, 46B20, 46B28
Keywords: operator spaces; isomorphic properties; approximation properties 
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     author = {Emmanuele, G.},
     title = {Some remarks on the equality $W(E,F^\ast) = K(E,F^\ast)$},
     journal = {Archivum mathematicum},
     pages = {417--425},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {1998},
     mrnumber = {1679636},
     zbl = {0970.46011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998__34_4_a0/}
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Emmanuele, G. Some remarks on the equality $W(E,F^\ast) = K(E,F^\ast)$. Archivum mathematicum, Tome 34 (1998) no. 4, pp. 417-425. http://geodesic.mathdoc.fr/item/ARM_1998__34_4_a0/