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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


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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)