{"id":10608,"date":"1996-01-01T00:00:00","date_gmt":"1996-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1996\/01\/01\/algunos-problemas-de-optimizacion-en-dimension-infinita-aplicaciones-lineales-y-multilineales-que-alcanzan-su-norma\/"},"modified":"1996-01-01T00:00:00","modified_gmt":"1996-01-01T00:00:00","slug":"algunos-problemas-de-optimizacion-en-dimension-infinita-aplicaciones-lineales-y-multilineales-que-alcanzan-su-norma","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algunos-problemas-de-optimizacion-en-dimension-infinita-aplicaciones-lineales-y-multilineales-que-alcanzan-su-norma\/","title":{"rendered":"Algunos problemas de optimizacion en dimension infinita: aplicaciones lineales y multilineales que alcanzan su norma"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Aguirre Bago <\/strong><\/h2>\n<p>Se estudian algunos problemas de optimizacion en espacios de banach relacionados con el teorema de bishop-phelps.  concretamente, problemas referentes a la abundancia de operadores, formas multilineales y polinomios que alcanzan su norma. En el primer capitulo se presenta una nueva condicion suficiente para la propiedad \u00abb\u00bb de lindenstrauss. Se ilustra mediante la presentacion de abundantes ejemplos que, incluso en dimension finita, esta nueva condicion es estrictamente mas general que las conocidas hasta ahora. Se discuten algunos aspectos geometricos y topologicos de esta nueva propiedad, su intima relacion con la estructura extremal de la bola dual y su estabilidad por ciertas construcciones. En el segundo capitulo se presentan nuevos ejemplos de espacios de banach que no verifican la propiedad \u00abb\u00bb. Entre otros resultados, se prueba que un espacio uniformemente convexo de dimension infinita no puede tener la propiedad \u00abb\u00bb. En el capitulo tercero se contestan negativamente una serie de preguntas naturales, suscitadas recientemente, acerca de la posibilidad de establecer versiones generales del teorema de bishop-phelps para formas multilineales, formas cuadraticas o polinomios homogeneos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algunos problemas de optimizacion en dimension infinita: aplicaciones lineales y multilineales que alcanzan su norma<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algunos problemas de optimizacion en dimension infinita: aplicaciones lineales y multilineales que alcanzan su norma <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Aguirre Bago <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1996<\/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>Mar\u00eda  Dolores Acosta Vigil<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: \u00e1ngel Rodr\u00edguez Palacios <\/li>\n<li>Manuel Gonzalez Ortiz (vocal)<\/li>\n<li>Jes\u00fas Bastero Eleizalde (vocal)<\/li>\n<li>Juan  Carlos D\u00edaz  Alcaide (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Aguirre Bago Se estudian algunos problemas de optimizacion en espacios de banach relacionados con el teorema [&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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