a Department of Mathematics, University of Toronto, 40 Saint George Street, Room 6290, Toronto, Ontario M5S 2E4, Canada b Academy of Mathematics and System Sciences, Chinese Academy of Sciences, China
Abstract:
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 S4 when p→∞.