Mostrar el registro sencillo del ítem
dc.contributor.author
Carando, Daniel Germán
dc.contributor.author
Rodríguez, Jorge Tomás
dc.date.available
2021-02-22T17:14:30Z
dc.date.issued
2019-02
dc.identifier.citation
Carando, Daniel Germán; Rodríguez, Jorge Tomás; Symmetric multilinear forms on Hilbert spaces: Where do they attain their norm?; Elsevier; Linear Algebra and its Applications; 563; 2-2019; 178-192
dc.identifier.issn
0024-3795
dc.identifier.uri
http://hdl.handle.net/11336/126252
dc.description.abstract
We characterize the sets of norm one vectors x1, ..., xk in a Hilbert space H such that there exists a k-linear symmetric form attaining its norm at (x1, ..., xk). We prove that in the bilinear case, any two vectors satisfy this property. However, for k ≥ 3 only collinear vectors satisfy this property in the complex case, while in the real case this is equivalent to x1, ..., xk spanning a subspace of dimension at most 2. We use these results to obtain some applications to symmetric multilinear forms, symmetric tensor products and the exposed points of the unit ball of Ls(kH).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
HILBERT SPACES
dc.subject
MULTILINEAR FORMS
dc.subject
NORM ATTAINING MAPPINGS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Symmetric multilinear forms on Hilbert spaces: Where do they attain their norm?
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-11-18T21:22:05Z
dc.journal.volume
563
dc.journal.pagination
178-192
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Carando, Daniel Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Rodríguez, Jorge Tomás. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo Consolidado de Matemática Pura y Aplicada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina
dc.journal.title
Linear Algebra and its Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0024379518305111?via%3Dihub
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.laa.2018.10.023
Archivos asociados