Completely 1-summing maps between some homogeneous Hilbertian operator spaces
Speaker:
Quanhua Xu (University of Franche-Comté)
Date and Time:
Saturday, December 15, 2007 - 9:00am to 9:50am
Location:
The Fields Institute
Abstract:
We discuss in this talk completely 1-summing maps between two homogenous spaces E and F that are quotients of subspaces of C ⊕ R. We show that Πo 1 (E, F) coincides with a Schatten-Orlicz class. We determine explicitly the underlying Orlicz function when E = Cp or CRp and F = Cq or CRq. The talk ends with a discussion on the constants of injectivity and exactness of these spaces. This is a joint work with Marius Junge.