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dc.date.accessioned | 2023-10-20T17:35:20Z | |
dc.date.available | 2023-10-20T17:35:20Z | |
dc.date.issued | 1968-09 | |
dc.identifier.uri | http://sedici.unlp.edu.ar/handle/10915/159179 | |
dc.description.abstract | Let X be a Banach space, and B(X) the Banach algebra of all bounded linear operators in X. The closed two sided ideals of B(X) (actually, of any Banach algebra) form a complete lattice L(X). Aside from very concrete cases, L(X) has not yet been determined; for inst- ance, when X = lp, l ≦ p < ∞, L(X) is a chain (i.e., totally ordered) with three elements: (0), B(X) and the ideal C(X) of compact operators (see (3)). On the other hand, it is known ((2), 5.23) that for X = Lp, 1 < p < ∞, the lattice L(X) is not a chain. A treatment for X a Hilbert space of arbitrary dimensión can be found in (4). We aim to exhibit here a Banach space X such that L(X) is both "long" and "wide". | en |
dc.language | en | es |
dc.subject | Espacios de Banach | es |
dc.title | Two sided ideals of operators | en |
dc.type | Publicacion seriada | es |
sedici.title.subtitle | Notas de Matemática, 5 | es |
sedici.creator.person | Porta, Horacio | es |
sedici.description.note | Material digitalizado en SEDICI gracias a la colaboración de la Biblioteca del Departamento de Matemática de la Facultad de Ciencias Exactas (UNLP). | es |
sedici.subject.materias | Matemática | es |
sedici.description.fulltext | true | es |
mods.originInfo.place | Facultad de Ciencias Exactas | es |
sedici.subtype | Publicacion seriada | es |
sedici.rights.license | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
sedici.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
sedici.relation.journalTitle | Notas de Matemática | es |
sedici.relation.journalVolumeAndIssue | no. 5 | es |