Premium
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 ).