The Banach Space B( l  2 ) is Primary | Zendy

Blower G. | Zendy

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The Banach Space B( l 2 ) is Primary

Author(s) -

Blower G.

Publication year - 1990

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/22.2.176

Subject(s) - mathematics , injective function , banach space , bounded function , projection (relational algebra) , combinatorics , bounded operator , space (punctuation) , operator (biology) , pure mathematics , discrete mathematics , mathematical analysis , algorithm , linguistics , philosophy , biochemistry , chemistry , repressor , transcription factor , gene

We prove that if A is an injective operator system on l 2 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( l 2 ) is linearly homeomorphic to X ⊕ Y then either X or Y is linearly homeomorphic to B ( l 2 ).

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