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| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.provenance | CONICET | - |
| dc.creator | Andruchow, Esteban | - |
| dc.creator | Larotonda, Gabriel Andrés | - |
| dc.date | 2017-07-12T15:16:14Z | - |
| dc.date | 2017-07-12T15:16:14Z | - |
| dc.date | 2011-09 | - |
| dc.date | 2017-07-12T13:19:16Z | - |
| dc.date.accessioned | 2019-04-29T15:34:16Z | - |
| dc.date.available | 2019-04-29T15:34:16Z | - |
| dc.date.issued | 2011-09 | - |
| dc.identifier | Andruchow, Esteban; Larotonda, Gabriel Andrés; Smooth paths of conditional expectations; World Scientific; International Journal Of Mathematics; 22; 7; 9-2011; 1031-1050 | - |
| dc.identifier | 0129-167X | - |
| dc.identifier | http://hdl.handle.net/11336/20219 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/296800 | - |
| dc.description | Let A be a von Neumann algebra with a finite trace , represented in H = L2(A, ), and let Bt ⊂ A be sub- algebras, for t in an interval I (0 ∈ I). Let Et : A → Bt be the unique -preserving conditional expectation. We say that the path t 7→ Et is smooth if for every a ∈ A and ∈ H, the map I ∋ t 7→ Et(a) ∈ H is continuously differentiable. This condition implies the existence of the derivative operator dEt(a) : H → H, dEt(a) = d dt Et(a). If this operator satifies the additional boundedness condition, ZJ kdEt(a)k2 2dt ≤ CJ kak2 2, for any closed bounded sub-interval J ⊂ I, and CJ > 0 a constant depending only on J, then the algebras Bt are ∗-isomorphic. More precisely, there exists a curve Gt : A → A, t ∈ I of unital, ∗-preserving linear isomorphisms which intertwine the expectations, Gt ◦ E0 = Et ◦ Gt. The curve Gt is weakly continuously differentiable. Moreover, the intertwining property in particular implies that Gt maps B0 onto Bt. We show that this restriction is a multiplicative isomorphism. | - |
| dc.description | Fil: Andruchow, Esteban. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina | - |
| dc.description | Fil: Larotonda, Gabriel Andrés. Universidad Nacional de General Sarmiento; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | World Scientific | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0129167X11007124 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0129167X11007124 | - |
| 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/11336/20219 | - |
| dc.subject | conditional expectations | - |
| dc.subject | finite von Neumann algebras | - |
| dc.subject | systems of projections | - |
| dc.subject | Matemática Pura | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | Smooth paths of conditional expectations | - |
| 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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