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dc.date.accessioned | 2022-06-07T14:10:37Z | |
dc.date.available | 2022-06-07T14:10:37Z | |
dc.date.issued | 2000 | |
dc.identifier.uri | http://sedici.unlp.edu.ar/handle/10915/137455 | |
dc.description.abstract | Based on the projective matrix spaces studied by B. Schwarz and A. Zaks, we study the notion of projective space associated to a C*-algebraA with a fixed projectionp. The resulting spaceP(p) admits a rich geometrical structure as a holomorphic manifold and a homogeneous reductive space of the invertible group ofA. Moreover, several metrics (chordal, spherical, pseudo-chordal, non-Euclidean-in Schwarz-Zaks terminology) are considered, allowing a comparison amongP(p), the Grassmann manifold ofA and the space of positive elements which are unitary with respect to the bilinear form induced by the reflection e=2p−1. Among several metrical results, we prove that geodesics are unique and of minimal length when measured with the spherical and non-Euclidean metrics. | en |
dc.format.extent | 143-168 | es |
dc.language | en | es |
dc.title | Projective spaces of a C*-algebra | en |
dc.type | Articulo | es |
sedici.identifier.other | doi:10.1007/bf01192421 | es |
sedici.identifier.issn | 0378-620x | es |
sedici.identifier.issn | 1420-8989 | es |
sedici.creator.person | Andruchow, Esteban | es |
sedici.creator.person | Corach, Gustavo | es |
sedici.creator.person | Stojanoff, Demetrio | es |
sedici.subject.materias | Matemática | es |
sedici.description.fulltext | true | es |
mods.originInfo.place | Facultad de Ciencias Exactas | es |
sedici.subtype | Articulo | 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.description.peerReview | peer-review | es |
sedici.relation.journalTitle | Integral Equations and Operator Theory | es |
sedici.relation.journalVolumeAndIssue | vol. 37, no. 2 | es |