{"id":27507,"date":"2003-12-12T00:00:00","date_gmt":"2003-12-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/difeomorfismos-eliminadores-y-cuerpos-estrellados-en-espacios-de-banach\/"},"modified":"2003-12-12T00:00:00","modified_gmt":"2003-12-12T00:00:00","slug":"difeomorfismos-eliminadores-y-cuerpos-estrellados-en-espacios-de-banach","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/difeomorfismos-eliminadores-y-cuerpos-estrellados-en-espacios-de-banach\/","title":{"rendered":"Difeomorfismos eliminadores y cuerpos estrellados en espacios de banach"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Montesinos Matilla Luis Alejandro <\/strong><\/h2>\n<p>Esta tesis doctoral combina el estudio de la teor\u00eda de la eliminaci\u00f3n topol\u00f3gica en espacios de banach (iniciada por klee, bessaga y otros) con el de las propiedades de los cuerpos estrellados en dichos espacios. Los resultados m\u00e1s importantes presentados en este trabajo son los siguientes. Si x es un espacio de banach de dimensi\u00f3n infinita con particiones de la unidad de calsde c^p entonces x es c^p-difeomorfo a x\/k, para cualquier subconjunto compacto k de x. Tambi\u00e9n se demuestra que en los espacios de banach con base de schauder que tienen mesetas diferenciables de la clase c^p, para cualquier compacto k de x, y para cualquier abierto u que contenga a k, existe un difeomorfismo entre x y x\/k que es la identidad fuera de u. finalmente, y al hilo de las investigaciones sobre eliminaci\u00f3n topol\u00f3gica, se establece el siguiente resultado: si x es un espacio de banach separable con una funci\u00f3n meseta de la clase c^p y lipschitz, entonces toda funci\u00f3n uniformemente continua puede aproximarse, uniformemente en acotados, por funciones lipschitz y de la clase c^p.  las demostraciones de todos estos resultados hacen uso de la noci\u00f3n de cuerpo estrellado, que generaliza la de cuerpo convexo; por ello se lleva a cabo un estudio exhaustivo de las propiedades m\u00e1s importantes de dichos cuerpos. Tambi\u00e9n se dan algunas aplicaciones a la teor\u00eda de ecuaciones diferenciales ordinarias en espacios de banach.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Difeomorfismos eliminadores y cuerpos estrellados en espacios de banach<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Difeomorfismos eliminadores y cuerpos estrellados en espacios de banach <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Montesinos Matilla Luis Alejandro <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 12\/12\/2003<\/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>Daniel Azagra Rueda<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Gonz\u00e1lez llavona Jos\u00e9 Luis <\/li>\n<li>Manuel Cepedello boiso (vocal)<\/li>\n<li>gilles Godefroy (vocal)<\/li>\n<li> Moreno diaz Jos\u00e9 pedro (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Montesinos Matilla Luis Alejandro Esta tesis doctoral combina el estudio de la teor\u00eda de la eliminaci\u00f3n topol\u00f3gica [&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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