| dc.contributor.author | TIMONEY, RICHARD | |
| dc.date.accessioned | 2009-08-31T16:57:01Z | |
| dc.date.available | 2009-08-31T16:57:01Z | |
| dc.date.issued | 2003 | |
| dc.date.submitted | 2003 | en |
| dc.identifier.citation | Richard M. Timoney 'Computing the norms of elementary operators' in Illinois Journal of Mathematics, 47, 2003, pp 1207 - 1226 | en |
| dc.identifier.other | Y | |
| dc.identifier.uri | http://hdl.handle.net/2262/32006 | |
| dc.description | PUBLISHED | en |
| dc.description.abstract | We provide a direct proof that the Haagerup estimate on
the completely bounded norm of elementary operators is best possible
in the case of B(H) via a generalisation of a theorem of Stamp
i. We
show that for an elementary operator T of length `, the completely
bounded norm is equal to the k-norm for k = `. A C*-algebra A has
the property that the completely bounded norm of every elementary
operator is the k-norm, if and only if A is either k-subhomogeneous or
a k-subhomogeneous extension of an antiliminal C*-algebra. | en |
| dc.format.extent | 1207 | en |
| dc.format.extent | 1226 | en |
| dc.format.extent | 282015 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | University of Illinois Press | en |
| dc.relation.ispartofseries | Illinois Journal of Mathematics | en |
| dc.relation.ispartofseries | 47 | en |
| dc.rights | Y | en |
| dc.subject | Pure & Applied Mathematics | en |
| dc.title | Computing the norms of elementary operators | en |
| dc.type | Journal Article | en |
| dc.type.supercollection | scholarly_publications | en |
| dc.type.supercollection | refereed_publications | en |
| dc.identifier.peoplefinderurl | http://people.tcd.ie/rtimoney | |
