Embeddings of Non-commutative L P -spaces in Non-commutative L 1 -spaces, 1 < P < 2
نویسنده
چکیده
It will be shown that for 1 < p < 2 the Schatten p-class is isometrically isomor-phic to a subspace of the predual of a von Neumann algebra. Similar results hold for non-commutative L p (N;)-spaces deened by a semi-nite, normal, faithful trace on a von Neumann algebra N. The embeddings rely on a suitable notion of p-stable processes in the non-commutative setting.
منابع مشابه
EMBEDDINGS OF NON - COMMUTATIVE Lp - SPACES INTO NON - COMMUTATIVE L 1 - SPACES , 1 < p < 2 Marius Junge
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 Lp(N, τ)-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. Introduction and Notation The theory of p-stab...
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