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Completely p-summing maps on the operator Hilbert space OH |
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| Authors: | Khye Loong Yew |
| Affiliation: | 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→∞. |
| Keywords: | Operator Hilbert space Completely p-summing maps Operator ideals Operator spaces Completely bounded maps |
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