{"id":51605,"date":"2021-10-14T16:51:36","date_gmt":"2021-10-14T16:51:36","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/teorema-de-vitali-hahn-saks-en-algebras-de-boole\/"},"modified":"2021-10-14T16:51:36","modified_gmt":"2021-10-14T16:51:36","slug":"teorema-de-vitali-hahn-saks-en-algebras-de-boole","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/teorema-de-vitali-hahn-saks-en-algebras-de-boole\/","title":{"rendered":"Teorema de vitali-hahn-saks en algebras de boole."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Francisco Jose Freniche Iba\u00f1ez <\/strong><\/h2>\n<p>El teorema de vitali-hahn-saks sobre convergencia de medidas es probado para una nueva clase de algebras de boole  definidas por una propledad de separacion de sus sucesiones disjuntas: la interpolacion subsecuencial.  esta propiedad es estrictamente mas debil que la interpolacion  la completidud subsecuencial y la (f). Se estudia la clase de algebras  -subsecuencialmente completas  aqui definidas  resolviendose un problema de s.Ulam que trata del numero de subalgebras de boole no isomorfas de un conjunto de partes: si s es un conjunto de cardinal k  hay 2 k  y si s=r  hay 2 c. Numerablemente completas. Se caracterizan en terminos de sus factores los coproductos de algebras de boole que verifican los teoremas de vitali-hahn-saks y nikodym. Esta caracterizacion es consecuencia de dos teoremas generales sobre productos tensoriales inyectivos de espacios localmente convexos. En particular se prueba que todo espacio de funciones vectoriales continuas no trivial contiene un subespacio isomorfo a co y complementado.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Teorema de vitali-hahn-saks en algebras de boole.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Teorema de vitali-hahn-saks en algebras de boole. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Francisco Jose Freniche Iba\u00f1ez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1983<\/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>Luis M. Arias De Reyna Martinez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Luis M. Arias De Reyna Martinez <\/li>\n<li>Antonio Valle Sanchez (vocal)<\/li>\n<li> De Castro Brzezicki Antonio (vocal)<\/li>\n<li>Fernando Bombal Gordon (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Francisco Jose Freniche Iba\u00f1ez El teorema de vitali-hahn-saks sobre convergencia de medidas es probado para una nueva [&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":[3183,11160,126,3385,10715],"tags":[3301,108840,4782,40969,2109],"class_list":["post-51605","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-espacios-lineales-topologicos","category-matematicas","category-medida-integracion-y-area","category-sevilla","tag-antonio-valle-sanchez","tag-de-castro-brzezicki-antonio","tag-fernando-bombal-gordon","tag-francisco-jose-freniche-ibanez","tag-luis-m-arias-de-reyna-Martinez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/51605","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=51605"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/51605\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=51605"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=51605"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=51605"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}