{"id":45904,"date":"2019-08-07T06:12:47","date_gmt":"2019-08-07T06:12:47","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/calculo-diferencial-en-espacios-vectoriales-de-convergencia\/"},"modified":"2019-08-07T06:12:47","modified_gmt":"2019-08-07T06:12:47","slug":"calculo-diferencial-en-espacios-vectoriales-de-convergencia","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/calculo-diferencial-en-espacios-vectoriales-de-convergencia\/","title":{"rendered":"Calculo diferencial en espacios vectoriales de convergencia"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Fernando Casta\u00f1eda Bravo <\/strong><\/h2>\n<p>En este trabajo desarrollamos directamente un calculo diferencial en espacios vectoriales de convergencia (abr.: E.V.C.) Con ello resolvemos  entre otros  el problema que se plantea con la diferenciabilidad de orden superior cuando se trabaja en espacios localmente convexos. Entre los resultados que obtenemos  son particularmente interesantes  unos teoremas de isomorfia entre espacios de aplicaciones n-lineales y continuas y espacios de aplicaciones lineales y continuas reiteradas definidas entre e.V.C.  La caracterizacion de la diferenciabilidad de cualquier orden de aplicaciones valoradas en un producto finito de e.V.C.  Y una regla de la cadena de orden superior para aplicaciones de clase cnc(e;f)  siendo e y f dos e.V.C. Dejamos  como problema abierto  dar  lo que hemos llamado  un teorema tipo halan-banach  en e.V.C.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Calculo diferencial en espacios vectoriales de convergencia<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Calculo diferencial en espacios vectoriales de convergencia <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Fernando Casta\u00f1eda Bravo <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1979<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li> Gutierrez Suarez Juan  Jose<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Enrique Lines Escardo <\/li>\n<li>Rafael Aguilo Fuster (vocal)<\/li>\n<li> Gutierrez Suarez Juan  Jos\u00e9 (vocal)<\/li>\n<li>Pablo Bobillo Guerrero (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Fernando Casta\u00f1eda Bravo En este trabajo desarrollamos directamente un calculo diferencial en espacios vectoriales de convergencia (abr.: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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