dc.contributor.author | Lima, Åsvald | |
dc.contributor.author | Lima, Vegard | |
dc.contributor.author | Oja, Eve | |
dc.date.accessioned | 2010-09-30T12:38:20Z | |
dc.date.available | 2010-09-30T12:38:20Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Lima, 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.issn | 0002-9939 | |
dc.identifier.uri | http://hdl.handle.net/11250/138153 | |
dc.description | Published version of an article in the journal:Proceedings of the American Mathematical Society. Also available from the publisher, Open Access | en_US |
dc.description.abstract | Let 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.iso | eng | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.title | Bounded approximation properties via integral and nuclear operators | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411 | en_US |
dc.source.pagenumber | 287-297 | en_US |