Ultraproducts of real interpolation spaces between L p -spaces
| dc.citation.journalTitle | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | |
| dc.contributor.author | López Molina, J.A. | |
| dc.contributor.author | Puerta, M.E. | |
| dc.contributor.author | Rivera, M.J. | |
| dc.contributor.department | Universidad EAFIT. Departamento de Ciencias | spa |
| dc.contributor.researchgroup | Matemáticas y Aplicaciones | spa |
| dc.creator | López Molina, J.A. | |
| dc.creator | Puerta, M.E. | |
| dc.creator | Rivera, M.J. | |
| dc.date.accessioned | 2021-04-12T14:04:18Z | |
| dc.date.available | 2021-04-12T14:04:18Z | |
| dc.date.issued | 2006-06-01 | |
| dc.description.abstract | Let {(L p0 (Od, µd), L p1 (Od, µd)) , d e D}, 1 = p0 < p1 < 8, be a family of compatible couples of L p -spaces. We show that, given a countably incomplete ultrafilter U in D, the ultraproduct (L p0 (Od, µd), L p1 (Od, µd))? q)U , 0< ? < 1,1 = q < 8 of interpolation spaces defined by the real method is isomorphic to the direct sum of an interpolation space of type (L p0 (O1, ? 1 L p1 (O1, ? 1)) ?, q , an intermediate Köthe space between l p0 (O2, ? 2) and l p1 (O2, ? 2), (O2, ? 2)being a purely atomic measure space, and a Köthe function space K(O3) defined on some purely non atomic measure space (O3, ? 3) in such a way that O2 O3 ? ?. © Springer-Verlag Berlin Heidelberg 2006. | eng |
| dc.identifier | https://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1861 | |
| dc.identifier.doi | 10.1007/s00574-006-0010-5 | |
| dc.identifier.issn | 16787544 | |
| dc.identifier.issn | 16787714 | |
| dc.identifier.other | SCOPUS;2-s2.0-33751053837 | |
| dc.identifier.uri | http://hdl.handle.net/10784/27689 | |
| dc.language.iso | eng | eng |
| dc.publisher | SPRINGER | |
| dc.relation.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-33751053837&doi=10.1007%2fs00574-006-0010-5&partnerID=40&md5=0ee5a3b515e704bf09639a73fb29e957 | |
| dc.rights | https://v2.sherpa.ac.uk/id/publication/issn/1678-7544 | |
| dc.source | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | |
| dc.subject | Interpolation spaces | eng |
| dc.subject | Ultraproducts | eng |
| dc.title | Ultraproducts of real interpolation spaces between L p -spaces | eng |
| dc.type | article | eng |
| dc.type | info:eu-repo/semantics/article | eng |
| dc.type | info:eu-repo/semantics/publishedVersion | eng |
| dc.type | publishedVersion | eng |
| dc.type.local | Artículo | spa |
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