Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591311 | Journal of Functional Analysis | 2010 | 17 Pages |
Abstract
We prove that if H is a Hilbert space then the Schatten (trace) class operators on H has the weak∗ fixed point property for left reversible semigroups. This answered positively a problem raised by A.T.-M. Lau. We also prove that if M is a finite von Neumann algebra then any nonempty bounded convex subset of the non-commutative L1-space associated to M that is compact for the measure topology has the fixed point property for left reversible semigroups.
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