Tensor Products and Banach Ideals of p-Compact Operators.
Johan Swart, Jan H. Fourie (1981)
Manuscripta mathematica
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Tensor Products and Banach Ideals of p-Compact Operators.
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We obtain a classification of projective tensor products of C(K) spaces according to whether none, exactly one or more than one factor contains copies of ℓ₁, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces or the verification of certain Banach space properties of the corresponding tensor product. The main tool is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczyński's (V) properties of...