Embeddings of non-commutative L-p-spaces into non-commutative L-1-spaces, 1 < p < 2

摘要

It will be shown that for 1 < p < 2 the Schatten p-class is isometrically isomorphic to a subspace of the predual of a von Neumann algebra. Similar results hold for non-commutative L-p(N, tau)-spaces defined by a finite trace on a finite von Neumann algebra. The embeddings rely on a suitable notion of p-stable processes in the non-commutative setting. [References: 28]