Estimates by polynomials
| dc.contributor.author | Llavona, José G. | |
| dc.contributor.author | Aron, R. M. | |
| dc.contributor.author | Choi, Y.S. | |
| dc.date.accessioned | 2023-06-20T16:57:38Z | |
| dc.date.available | 2023-06-20T16:57:38Z | |
| dc.date.issued | 1995-12 | |
| dc.description.abstract | Consider the following possible properties which a Banach space X may have: (P): If (x(j)) and (y(j)) are are bounded sequences in X such that for all n greater than or equal to 1 and for every continuous n-homogeneous polynomial P on X, P(x(j)) - P(y(j)) --> 0, then, Q(x(j) - y(j)) --> 0 for all m greater than or equal to 1 and for every continuous us m-homogeneous polynomial Q on X. (RP): If (x(j)) and (y(j)) are bounded sequences in X such that for all n greater than or equal to 1 and for every continuous n-homogeneous polynomial P on X, P(x(j) - y(j)) --> 0, then Q(x(j)) - Q(y(j)) --> 0 for all m greater than or equal to 1 and for every continuous m-homogeneous polynomial Q on X. We study properties (P) and (RP) and their relation with the Schur property, Dunford-Pettis property, Lambda, and others. Several. applications of these properties are given. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | NSF | |
| dc.description.sponsorship | KOSEF | |
| dc.description.sponsorship | GARC-KOSEF | |
| dc.description.sponsorship | DGICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16382 | |
| dc.identifier.doi | 10.1017/S0004972700014957 | |
| dc.identifier.issn | 0004-9727 | |
| dc.identifier.officialurl | http://journals.cambridge.org/download.php?file=%2F42139_000CFF88FC69EEF276645126CD9AB357_journals__BAZ_BAZ52_03_S0004972700014957a.pdf&cover=Y&code=4e144b89cb719e9cdb323feb4fadd1e3 | |
| dc.identifier.relatedurl | http://journals.cambridge.org/action/login | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57518 | |
| dc.issue.number | 3 | |
| dc.journal.title | Bulletin of the Australian Mathematical Society | |
| dc.language.iso | eng | |
| dc.page.final | 486 | |
| dc.page.initial | 475 | |
| dc.publisher | Cambridge University Press | |
| dc.relation.projectID | INT-9023951 | |
| dc.relation.projectID | PB90-0044. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.5 | |
| dc.subject.keyword | Space | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.title | Estimates by polynomials | |
| dc.type | journal article | |
| dc.volume.number | 52 | |
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| dspace.entity.type | Publication |
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