Abstract: | We prove that if A is an injective operator system on l2 andP is a completely bounded projection on A then either PA or(IP)A is completely boundedly isomorphic to A. We alsoprove that if B(l2) is linearly homeomorphic to X Y then eitherX or Y is linearly homeomorphic to B(l2).
Current address: Merton College, Oxford 0X1 4JD |