Abstract
In this paper we provide the complete isomorphic classication of the spaces C(�N × K,lp) of all continuous lp-valued functions, 1 � p < 1, dened on the topological product of the Stone-Cech compactication of the natural numbers N and an arbitrary innite compact metric space K. In order to do this, werst prove that c0 is the only innite dimensional separable C(K) space, Z, up to an isomorphism, which satises each one of the following statements: • Z is a quotient of C(�N,lp) for every 1 < p < 1. • Z is isomorphic to a complemented subspace of C(�N,l1). • C(�N,lp) is isomorphic to the injective tensor product of itself and Z, for every 1 � p < 1.
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