The Banach Space B(l2) is Primary

Blower, G. (1990) The Banach Space B(l2) is Primary. Bulletin of the London Mathematical Society, 22 (2). pp. 176-182. ISSN 0024-6093

Abstract

We prove that if A is an injective operator system on l2 and P is a completely bounded projection on A then either PA or (I−P)A is completely boundedly isomorphic to A. We also prove that if B(l2) is linearly homeomorphic to X ⊕ Y then either X or Y is linearly homeomorphic to B(l2).