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dc.contributor.authorLima, Åsvald
dc.contributor.authorLima, Vegard
dc.contributor.authorOja, Eve
dc.date.accessioned2010-09-30T12:38:20Z
dc.date.available2010-09-30T12:38:20Z
dc.date.issued2010
dc.identifier.citationLima, Å., Lima, V., & Oja, E. (2010). Bounded approximation properties via integral and nuclear operators Proceedings of the American Mathematical Society, 138(1), 287-297.en_US
dc.identifier.issn0002-9939
dc.identifier.urihttp://hdl.handle.net/11250/138153
dc.descriptionPublished version of an article in the journal:Proceedings of the American Mathematical Society. Also available from the publisher, Open Accessen_US
dc.description.abstractLet X be a Banach space and let A be a Banach operator ideal. We say that X has the lambda-bounded approximation property for A (lambda-BAP for A) if for every Banach space Y and every operator T is an element of A(X, Y), there exists a net (S-alpha) of finite rank operators on X such that S-alpha -> I-X uniformly on compact subsets of X and lim(alpha) sup parallel to TS alpha parallel to(A)<=lambda parallel to T parallel to(A). We prove that the (classical) lambda-BAP is precisely the lambda-BAP for the ideal I of integral operators, or equivalently, for the ideal SI of strictly integral operators. We also prove that the weak lambda-BAP is precisely the lambda-BAP for the ideal N of nuclear operators.en_US
dc.language.isoengen_US
dc.publisherAmerican Mathematical Societyen_US
dc.titleBounded approximation properties via integral and nuclear operatorsen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.subject.nsiVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411en_US
dc.source.pagenumber287-297en_US


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