[phi]-Summing operators in Banach spaces
dc.contributor.author | Khalil, R. | en_US |
dc.contributor.author | Deeb, W. | en_US |
dc.date.accessioned | 2006-04-07T19:46:41Z | |
dc.date.available | 2006-04-07T19:46:41Z | |
dc.date.issued | 1987-11-01 | en_US |
dc.identifier.citation | Khalil, R., Deeb, W. (1987/11/01)."[phi]-Summing operators in Banach spaces." Journal of Mathematical Analysis and Applications 127(2): 577-584. <http://hdl.handle.net/2027.42/26526> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6WK2-4CRM63B-24T/2/9a761ae6fdd08ea367ac1174c22b9d81 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/26526 | |
dc.description.abstract | Let [phi]: [0, [infinity]) --> [0, [infinity]) be a continuous subadditive strictly increasing function and [phi](0) = 0. Let E and F be Banach spaces. A bounded linear operator A: E --> F will be called [phi]-summing operator if there exists [lambda] > 0 such that [summation operator]i = 1n [phi] ||Axi|| [les][lambda] sup||x*|| [les] 1 [epsilon]i = 1n [phi] |xi, x*>|, for all sequences {x1, ..., xn [subset of or equal to] E}. We set [Pi][phi](E, F) to denote the space of all [phi]-summing operators from E to F. We study the basic properties of the space [Pi][phi](E, F). In particular, we prove that [Pi][phi](H, H) = [Pi]p(H, H) for 0 [les] p H is a Banach space with the metric approximation property. | en_US |
dc.format.extent | 353074 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | [phi]-Summing operators in Banach spaces | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | University of Michigan, Department of Mathematics, Ann Arbor, Michigan, U.S.A. | en_US |
dc.contributor.affiliationother | Kuwait University, Department of Mathematics, Kuwait, Kuwait | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/26526/1/0000065.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0022-247X(87)90132-6 | en_US |
dc.identifier.source | Journal of Mathematical Analysis and Applications | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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