p-convexity and q-concavity of noncommutative symmetric spaces. (Russian) Zbl 0716.46030
Summary: The action of the interpolation functor in the pair of the symmetric spaces, associated to a continuous semifinite von Neumann algebra, as well as properties of p-convexity and q-concavity for such classes of symmetric spaces are considered.
MSC:
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
| 46M35 | Abstract interpolation of topological vector spaces |
| 46B20 | Geometry and structure of normed linear spaces |
| 46L51 | Noncommutative measure and integration |
| 46L53 | Noncommutative probability and statistics |
| 46L54 | Free probability and free operator algebras |
