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The Banach Space B(l2) is Primary

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<mark>Journal publication date</mark>1/03/1990
<mark>Journal</mark>Bulletin of the London Mathematical Society
Issue number2
Number of pages7
Pages (from-to)176-182
Publication StatusPublished
<mark>Original language</mark>English


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).