A note on unconditional structures in weak Hilbert spaces. (English) Zbl 0799.46018
We prove that if a non-atomic separable Banach lattice is a weak Hilbert space, then it is lattice isomorphic to \(L_ 2 (0,1)\).
Reviewer: N.J.Nielsen (Odense)
MSC:
| 46B42 | Banach lattices |
| 46B20 | Geometry and structure of normed linear spaces |
| 46B15 | Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces |
