On compactness theorems for logarithmic interpolation methods
| dc.contributor.author | Besoy, Blanca F. | |
| dc.date.accessioned | 2023-06-17T13:27:41Z | |
| dc.date.available | 2023-06-17T13:27:41Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Let (A0;A1) be a Banach couple, (B0;B1) a quasi-Banach couple, 0 < q <= ∞ and T a linear operator. We prove that if T : A0 -> B0 is bounded and T : A1 -> B1 is compact, then the interpolated operator by the logarithmic method T : (A0,A1)1;q;A -> (B0;B1)1;q;A is compact too. This result allows the extension of some limit variants of Krasnosel'skii's compact interpolation theorem. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia e Innovación (MICINN)/FEDER | |
| dc.description.sponsorship | Ministerio de Educación, Cultura y Deporte | |
| dc.description.status | submitted | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/56936 | |
| dc.identifier.issn | 0137-6934 | |
| dc.identifier.officialurl | https://www.impan.pl/pl/wydawnictwa/banach-center-publications | |
| dc.identifier.relatedurl | https://www.impan.pl/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/13541 | |
| dc.journal.title | Banach Center Publications | |
| dc.language.iso | eng | |
| dc.publisher | Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics) | |
| dc.relation.projectID | MTM2017-84508-P | |
| dc.relation.projectID | FPU16/02420 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.98 | |
| dc.subject.keyword | Logarithmic interpolation methods | |
| dc.subject.keyword | compact operators | |
| dc.subject.keyword | Lorentz-Zygmund spaces. | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | On compactness theorems for logarithmic interpolation methods | |
| dc.type | journal article | |
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| dspace.entity.type | Publication |
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