Completely p-summing maps on the operator Hilbert space OH

摘要

We prove the completely p-summing ideals of OH are all equal as sets for 1 <= p < 2. A phase transition then occurs at p = 2 as we also show for p >= 2, the completely p-summing ideals of OH turn out as sets to be Schatten ideal classes with the limiting case being the Schatten 4-class ideal S-4 when p -> infinity. (c) 2008 Elsevier Inc. All rights reserved.