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Abstract
We explore subspaces of maximal operator spaces ( submaximal spaces) and give a new characterization of such spaces. We show that the set of n-dimensional submaximal spaces is closed in the topology of c.b. distance, but not compact. We also investigate subspaces of MAX(L â) and prove that any homogeneous Hilbertian subspace of MAX(L 1) is completely isomorphic to R + C.
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