{"id":81319,"date":"2018-03-10T00:05:10","date_gmt":"2018-03-10T00:05:10","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/el-teorema-de-hahn-banach-para-valores-infinitos-y-pretopologias\/"},"modified":"2018-03-10T00:05:10","modified_gmt":"2018-03-10T00:05:10","slug":"el-teorema-de-hahn-banach-para-valores-infinitos-y-pretopologias","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/el-teorema-de-hahn-banach-para-valores-infinitos-y-pretopologias\/","title":{"rendered":"El teorema de hahn-banach para valores infinitos y pretopolog\u00edas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ramon Miralles Rafart <\/strong><\/h2>\n<p>La utilizaci\u00f3n del teorema de hahn-banach para valores infinitos (en las funciones de acotaci\u00f3n de las formas lineales) va asociada a conjuntos convexos no absorbentes los cuales, por un proceso paralelo al de construcci\u00f3n de la topolog\u00eda de espaci\u00f3 vectorial topol\u00f3gico, proporcionan unas topolog\u00edas m\u00e1s amplias en los espacios vectoriales. Se toma el concepto de espacio pretopol\u00f3gico, cosa que permite generalizar m\u00e1s estos conceptos y completar las topolog\u00edas con entornos no absorbentes que requieren los teoremas de hahn-banach para valores infinitos. Se introduce la funci\u00f3n de minkowki (sobre conjuntos convexos y no convexos) y las funciones convexas, admitiendo la posibilidad de valores infinitos en sus im\u00e1genes, estudiando sus posibilidades y caracterizaciones. Finalmente, se presentan cuatro posibles extensiones del teorema de hahn-banach.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>El teorema de hahn-banach para valores infinitos y pretopolog\u00edas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 El teorema de hahn-banach para valores infinitos y pretopolog\u00edas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ramon Miralles Rafart <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Nacional de educaci\u00f3n a distancia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/11\/1999<\/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>Pere Rubio Diaz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: pedro Jimenez guerra <\/li>\n<li>alejandro Balbas de la corte (vocal)<\/li>\n<li>Jos\u00e9 Gelonch anye (vocal)<\/li>\n<li>Luis marino Santana rodriguez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ramon Miralles Rafart La utilizaci\u00f3n del teorema de hahn-banach para valores infinitos (en las funciones de acotaci\u00f3n [&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":[3183,126,17070],"tags":[3391,15790,31580,3388,15791,173579],"class_list":["post-81319","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-matematicas","category-nacional-de-educacion-a-distancia","tag-alejandro-balbas-de-la-corte","tag-jose-gelonch-anye","tag-luis-marino-santana-rodriguez","tag-pedro-jimenez-guerra","tag-pere-rubio-diaz","tag-ramon-miralles-rafart"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/81319","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=81319"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/81319\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=81319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=81319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=81319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}