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Projections and unconditional bases in direct sums of ℓp SPACES, 0<p≤∞
| dc.creator | Albiac Alesanco, Fernando José | es_ES |
| dc.creator | Ansorena, José L. | es_ES |
| dc.date.accessioned | 2022-04-26T06:53:41Z | |
| dc.date.available | 2022-11-30T00:00:10Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Ansorena, J.L and Albiac, F, 'Projections and unconditional bases in direct sums of ℓp spaces, 0<p≤∞', Nov. 30 2021, Mathematische Nachrichten, doi: 10.1002/mana.201900537 | en |
| dc.identifier.issn | 0025-584X | |
| dc.identifier.uri | https://hdl.handle.net/2454/42791 | |
| dc.description.abstract | We show that every unconditional basis in a finite direct sum ⊕p∈Aℓp , with A ⊂ (0,∞], splits into unconditional bases of each summand. This settles a 40 years old question raised in 'A. Ortyński, Unconditional bases in ℓp ⊕ ℓq, 0< p < q <1, Math. Nachr. 103 (1981), 109–116'. As an application we obtain that for any A ⊂ (0,1] finite, the spaces Z = ⊕p∈A ℓp,Z ⊕ ℓ2, and Z ⊕ c0 have a unique unconditional basis up to permutation. | en |
| dc.description.sponsorship | Both authors were supported by the Spanish Ministry for Science, Innovation, and Universities, Grant PGC2018-095366-B-I00 for ‘Análisis Vectorial, Multilineal y Approximación’. The first-named author also acknowledges the support from the Spanish Ministry for Science and Innovation, Grant PID2019-107701GB-I00 for ‘Operators, Lattices, and Structure of Banach spaces. | en |
| dc.format.extent | 15 P. | |
| dc.format.mimetype | application/pdf | en |
| dc.language.iso | eng | en |
| dc.publisher | Wiley | en |
| dc.relation.ispartof | Mathematische Nachrichten, 294 (11), pp. 2052-2062, 2021 | en |
| dc.rights | © 2021 Wiley | en |
| dc.subject | Unconditional basis | en |
| dc.subject | Quasi-Banach space | en |
| dc.subject | L-p-spaces | en |
| dc.title | Projections and unconditional bases in direct sums of ℓp SPACES, 0<p≤∞ | en |
| dc.type | info:eu-repo/semantics/article | en |
| dc.type | Artículo / Artikulua | es |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
| dc.rights.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.embargo.terms | 2022-11-30 | |
| dc.identifier.doi | 10.1002/mana.201900537 | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095366-B-I00/ES/ | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107701GB-I00/ES/ | en |
| dc.relation.publisherversion | https://doi.org/10.1002/mana.201900537 | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
| dc.type.version | Versión aceptada / Onetsi den bertsioa | es |
