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http://hdl.handle.net/10662/8347
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Campo DC | Valor | idioma |
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dc.contributor.author | Dutta, S. | - |
dc.contributor.author | Khurana, D. | - |
dc.contributor.author | Sensarma, A. | - |
dc.date.accessioned | 2018-12-10T12:34:35Z | - |
dc.date.available | 2018-12-10T12:34:35Z | - |
dc.date.issued | 2018 | - |
dc.identifier.uri | http://hdl.handle.net/10662/8347 | - |
dc.description.abstract | Motivated by Bratteli diagrams of Approximately Finite Dimensional (AF) C*- algebras, we consider diagrammatic representations of separable L₁-predual spaces and show that, in analogy to a result in AF C*-algebra theory, in such spaces, every M-ideal corresponds to directed sub diagram. This allows one, given a representing matrix of a L₁-predual space, to recover a representing matrix of an M-ideal in X. We give examples where the converse is true in the sense that given an M-ideal in a L₁-predual space X, there exists a diagrammatic representation of X such that the M-ideal is given by a directed sub diagram and an algorithmic way to recover a representing matrix of M-ideals in these spaces. Given representing matrices of two L₁-predual spaces we construct a representing matrix of their injective tensor product. | es_ES |
dc.format.extent | 18 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura | es_ES |
dc.rights | Atribución-NoComercial 3.0 España | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/3.0/es/ | * |
dc.subject | Matriz representativa | es_ES |
dc.subject | Diagrama generalizado | es_ES |
dc.subject | Subdiagrama dirigido | es_ES |
dc.subject | M-ideales | es_ES |
dc.subject | Producto tensorial | es_ES |
dc.subject | Representing matrix | es_ES |
dc.subject | Generalized diagram | es_ES |
dc.subject | Directed sub diagram | es_ES |
dc.subject | M-ideals | es_ES |
dc.subject | Tensor products | es_ES |
dc.title | Representing matrices, M-ideals and tensor products of L₁-predual spaces | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.03 Álgebra y Espacios de Banach | es_ES |
dc.subject.unesco | 1202.25 Espacios Lineales Topológicos | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Dutta, S., Khurana, D., Sensarma, A. (2018). Representing matrices, M-ideals and tensor products of L₁-predual spaces. Extracta Mathematicae 33 (1), 33-50. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Indian Institute of Technology Kanpur. India | en_US |
dc.relation.publisherversion | https://doi.org/10.17398/2605-5686.33.1.33 | es_ES |
dc.identifier.doi | 10.17398/2605-5686.33.1.33 | - |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 1 | es_ES |
dc.identifier.publicationfirstpage | 33 | es_ES |
dc.identifier.publicationlastpage | 50 | es_ES |
dc.identifier.publicationvolume | 33 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 33, nº 1 (2018) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_33_1_33.pdf | 345,23 kB | Adobe PDF | Descargar |
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