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

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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).

Item Type:
Journal Article
Journal or Publication Title:
Bulletin of the London Mathematical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2600
Subjects:
?? general mathematicsmathematics(all) ??
ID Code:
137337
Deposited By:
Deposited On:
04 Oct 2019 14:15
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 11:17