Lecture Details
Name: Lina Oliveira (Instituto Superior Técnico, Lisbon, Portugal)Speaking: Wed 8th May 15:00 - 15:25Title: Q-measures on the dual unit ball of a JB*-tripleAbstract: 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).