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| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.provenance | CONICET | - |
| dc.creator | Andruchow, Esteban | - |
| dc.date | 2018-07-02T20:43:21Z | - |
| dc.date | 2018-07-02T20:43:21Z | - |
| dc.date | 2017-06 | - |
| dc.date | 2018-06-18T14:22:04Z | - |
| dc.date.accessioned | 2019-04-29T15:41:39Z | - |
| dc.date.available | 2019-04-29T15:41:39Z | - |
| dc.date.issued | 2017-06 | - |
| dc.identifier | Andruchow, Esteban; Geometry of the projective unitary group of a C*-algebra; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 58; 2; 6-2017; 319-329 | - |
| dc.identifier | 0041-6932 | - |
| dc.identifier | http://hdl.handle.net/11336/50955 | - |
| dc.identifier | 1669-9637 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/299708 | - |
| dc.description | Let A be a C∗-algebra with a faithful state ϕ. It is proved thatthe projective unitary group P UA of A,P UA = UA/T.1,(UA denotes the unitary group of A) is a C∞-submanifold of the Banach spaceBs(A) of bounded operators acting in A, which are symmetric for the ϕ-innerproduct, and are usually called symmetrizable linear operators in A.A quotient Finsler metric is introduced in P UA, following the theory ofhomogeneous spaces of the unitary group of a C∗-algebra. Curves of minimallength with any given initial conditions are exhibited. Also it is proved that ifA is a von Neumann algebra (or more generally, an algebra where the unitarygroup is exponential) two elements in P UA can be joined by a minimal curve.In the case when A is a von Neumann algebra with a finite trace, theseminimality results hold for the quotient of the metric induced by the p-normof the trace (p ≥ 2), which metrizes the strong operator topology of P UA. | - |
| dc.description | Fil: Andruchow, Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Unión Matemática Argentina | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.inmabb.criba.edu.ar/revuma/pdf/v58n2/v58n2a11.pdf | - |
| dc.rights | info:eu-repo/semantics/openAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.source.uri | http://hdl.handle.net/11336/50955 | - |
| dc.subject | C*-algebra | - |
| dc.subject | projective unitaries | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Geometry of the projective unitary group of a C*-algebra | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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