{"id":1010,"date":"1994-01-01T00:00:00","date_gmt":"1994-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1994\/01\/01\/estructura-extremal-de-la-bola-unidad-en-espacios-de-banach\/"},"modified":"1994-01-01T00:00:00","modified_gmt":"1994-01-01T00:00:00","slug":"estructura-extremal-de-la-bola-unidad-en-espacios-de-banach","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/estructura-extremal-de-la-bola-unidad-en-espacios-de-banach\/","title":{"rendered":"Estructura extremal de la bola unidad en espacios de banach."},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Navarro Pascual Juan  Carlos <\/strong><\/h2>\n<p>La memoria se enmarca en el ambito de la geometria de los espacios de banach. Para un tal espacio x estudiamos las siguientes propiedades: la propiedad de representacion convexa (cada punto de la bola unidad de x, b(x), se expresa como combinacion convexa de puntos extremos); la lambda-propiedad (cada punto de b(x) es suma de una serie convexa infinita de puntos extremos); la propiedad de bade (cada punto de b(x) es limite de combinaciones convexas de puntos extremos). Los principales resultados se obtienen en espacios c(t,x) de funciones continuas y acotadas definidas en un espacio completamente regular t y con valores en un espacio de banach estrictamente convexo x. Suponiendo que la dimension de x es mayor o igual que 2, probamos que las dos primeras propiedades son equivalentes y que, a su vez, equivalen a una propiedad de extension de funciones continuas, que es automatica si x es de dimension infinita y que, para x finito-dimensional, se materializa en la condicion dim(t) dim(x), donde dim(t) es la dimension de cech-lebesgue de t. Se prueba ademas, que c(t,x) tiene la propiedad de bade, cualesquiera que sean t y x, con dimension de x mayor o igual que 2, finita o infinita.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Estructura extremal de la bola unidad en espacios de banach.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Estructura extremal de la bola unidad en espacios de banach. <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Navarro Pascual Juan  Carlos <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1994<\/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> Mena Jurado Juan  Francisco<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Carlos Ben\u00edtez Rodr\u00edguez <\/li>\n<li>\u00e1ngel Rodr\u00edguez Palacios (vocal)<\/li>\n<li> Gonzalez Llavona Jos\u00e9 Luis (vocal)<\/li>\n<li>Antonio Suarez Granero (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Navarro Pascual Juan Carlos La memoria se enmarca en el ambito de la geometria de los espacios [&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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