{"id":59601,"date":"2007-03-07T00:00:00","date_gmt":"2007-03-07T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/renormings-in-ck-spaces\/"},"modified":"2007-03-07T00:00:00","modified_gmt":"2007-03-07T00:00:00","slug":"renormings-in-ck-spaces","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/renormings-in-ck-spaces\/","title":{"rendered":"Renormings in c(k) spaces"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Juan  Francisco Mart\u00ednez Romero <\/strong><\/h2>\n<p>La teor\u00eda del renormamiento estudia problemas relacionados con la construcci\u00f3n de normas equivalentes en espacios de banach con buenas propiedades de convexidad o diferenciabilidad. En esta tesis, estamos especialmente interesados en renormamientos local uniformemente rotundos en espacios de banach de tipo c(k). La norma | . | De un espacio de banach x se dice local uniformemente rodunda (lur para abreviar) si lim|x-x_n|=0 cuando la sucesi\u00f3n (x_n)_n y el punto x son elementos de la esfera unidad de x cumpliendo lim|x+x_n|=2. Los espacios de funciones reales y continuas definidas en compactos son considerados ejemplos cl\u00e1sicos en la teor\u00eda de los espacios de banach. la tesis se divide en tres cap\u00edtulos y consta de una introducci\u00f3n donde se contextualiza el problema central de la misma. En el primer cap\u00edtulo caracterizamos la existencia de normas equivalentes lur en espacios c(k) en t\u00e9rminos de dos conceptos topol\u00f3gicos: coordenadas de control y cubrimientos de k por conjuntos de oscilaci\u00f3n peque\u00f1a. As\u00ed mismo, tambi\u00e9n caracterizamos la sigma-fragmentabilidad y la propiedad sld en c(k) en funci\u00f3n de dichas nociones topol\u00f3gicas. En el cap\u00edtulo segundo presentamos un m\u00e9todo para construir semi-espacios abiertos que es necesario para poder aplicar el teorema central del cap\u00edtulo primero. El tercer cap\u00edtulo est\u00e1 dedicado a aplicaciones. En \u00e9l se deduce la existencia de renormamientos lur, por medio de un m\u00e9todo unificado, en los siguientes espacios de funciones: c(k) si k es un compacto de namioka-phelps (tambi\u00e9n se incluye el caso de compactos sigma-discretos); c(k) si k es un compacto de rosenthal separable con la propiedad de que toda funci\u00f3n en k tiene a lo sumo una cantidad numerable de discontinuidades; el espacio de funciones continuas que se anulan en el infinito definidas en un \u00e1rbol hausdorff t que admite una funci\u00f3n creciente y no constante en ning\u00fan subconjunto ever-branching de t y que no tiene puntos malos; c(l) si l es un compact<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Renormings in c(k) spaces<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Renormings in c(k) spaces <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Juan  Francisco Mart\u00ednez Romero <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Universitat de val\u00e9ncia (estudi general)<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 03\/07\/2007<\/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>An\u00edbal Molt\u00f3  Mart\u00ednez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: jose Orihuela calatayud <\/li>\n<li>stanimir Troyanski (vocal)<\/li>\n<li>g. Haydon richard (vocal)<\/li>\n<li>salvador Hern\u00e1ndez mu\u00f1oz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Juan Francisco Mart\u00ednez Romero La teor\u00eda del renormamiento estudia problemas relacionados con la construcci\u00f3n de normas equivalentes [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[3564,3183,126],"tags":[81930,131671,3567,131670,16823,6193],"class_list":["post-59601","post","type-post","status-publish","format-standard","hentry","category-algebras-y-espacios-de-banach","category-analisis-y-analisis-funcional","category-matematicas","tag-anibal-molto-Martinez","tag-g-haydon-richard","tag-jose-orihuela-calatayud","tag-juan-francisco-Martinez-romero","tag-salvador-hernandez-munoz","tag-stanimir-troyanski"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/59601","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=59601"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/59601\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=59601"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=59601"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=59601"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}