It will be shown that for < 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.
|Original language||English (US)|
|Number of pages||18|
|Journal||Geometric and Functional Analysis|
|State||Published - 2000|
ASJC Scopus subject areas
- Geometry and Topology