Best possible Compactness Results of Lions-Peetre Type
| dc.contributor.author | Cobos Díaz, Fernando | |
| dc.contributor.author | Cwikel, M. | |
| dc.contributor.author | Matos, P. | |
| dc.date.accessioned | 2023-06-20T16:51:02Z | |
| dc.date.available | 2023-06-20T16:51:02Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | If T : A0 ! B boundedly and T : A1 ! B compactly, then a result of Lions{Peetre shows that T : A ! B compactly for a certain class of spaces A which are intermediate with respect to A0 and A1. We investigate to what extent such results can hold for arbitrary intermediate spaces A. The `dual' case of an operator S such that S : X ! Y0 boundedly and S : X ! Y1 compactly, is also considered, as well as similar questions for other closed operator ideals. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Dirección General de Enseñanza Superior (España) | |
| dc.description.sponsorship | Fund for Promotion of Research at the Technion | |
| dc.description.sponsorship | Progama Praxos XXI da Fundaçao para a Ciencia e Tecnologia | |
| dc.description.sponsorship | Instituto Politécnico de Leiria | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15165 | |
| dc.identifier.doi | 10.1017/S0013091598001163 | |
| dc.identifier.issn | 0013-0915 | |
| dc.identifier.officialurl | https//doi.org/10.1017/S0013091598001163 | |
| dc.identifier.relatedurl | http://journals.cambridge.org/download.php?file=%2FPEM%2FPEM2_44_01%2FS0013091598001163a.pdf&code=9b3d4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57226 | |
| dc.issue.number | Part 1 | |
| dc.journal.title | Proceedings of the Edinburgh Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 173 | |
| dc.page.initial | 153 | |
| dc.publisher | Cambridge Univ Press | |
| dc.relation.projectID | PB97-0254 | |
| dc.relation.projectID | BD-11466-97 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.982.2 | |
| dc.subject.keyword | Interpolation of Compact Operators | |
| dc.subject.keyword | Rank-One Interpolation Spaces | |
| dc.subject.keyword | General Intermediate Spaces | |
| dc.subject.keyword | Operator Ideals | |
| dc.subject.keyword | Mathematics | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Best possible Compactness Results of Lions-Peetre Type | en |
| dc.type | journal article | |
| dc.volume.number | 44 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ad35279f-f928-4b72-a5bd-e422662ac4c1 | |
| relation.isAuthorOfPublication.latestForDiscovery | ad35279f-f928-4b72-a5bd-e422662ac4c1 |
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