Lecture Details
Name: Lina Oliveira (Instituto Superior Técnico, Lisbon, Portugal)
Speaking: Wed 8th May 15:00 - 15:25
Title: Q-measures on the dual unit ball of a JB*-triple
Abstract: Let A be a JB^*-triple with Banach dual space A^* and bidual the JBW^*-triple A^{**}. Elements x of A^* of norm one may be regarded as normalised `Q-measures' defined on the complete ortho-lattice \tilde{\mathcal U}(A^{**}) of tripotents in A^{**}.
In this talk, we present recent results regarding the supports of Q-measures and analyse their implications in a classical case, that of the space of continuous complex functions on a compact Hausdorff space.
This is joint work with C.M. Edwards (The Queen's College, Oxford).