{"id":9568,"date":"1995-01-01T00:00:00","date_gmt":"1995-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1995\/01\/01\/integracion-de-funciones-valoradas-en-semigrupos-metricos\/"},"modified":"1995-01-01T00:00:00","modified_gmt":"1995-01-01T00:00:00","slug":"integracion-de-funciones-valoradas-en-semigrupos-metricos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/integracion-de-funciones-valoradas-en-semigrupos-metricos\/","title":{"rendered":"Integracion de funciones valoradas en semigrupos metricos."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alberto Castejon Lafuente <\/strong><\/h2>\n<p>La memoria esta centrada en la integracion de funciones que, definidas en un espacio de medida completo, toman valores sobre un semigrupo dotado de una metrica compatible con la operacion, y de una accion sobre los reales positivos o sobre un conjunto de homomorfismos, que dota a esta estructura de las condiciones necesarias y suficientes para desarrollar una teoria de integracion de amplio alcance.En el capitulo 1, utilizando el ejemplo del semigrupo de los compactos convexos de r elevado a n se obtiene una caracterizacion de los espacios metrizables localmente convexos y nucleares.En el capitulo 2, se calculan explicitamente zonoides de inercia y se prueba rigurosamente el lema de urysohn, a partir de las ideas previamente establecidas por pisier.En el capitulo 3, se estudia la integracion desde el punto de vista de los funcionales.En el capitulo 4, se desarrolla una integral sobre semigrupos uniformes y se analiza su relacion con la integracion pettis y la integral presentada en los capitulos anteriores.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Integracion de funciones valoradas en semigrupos metricos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Integracion de funciones valoradas en semigrupos metricos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alberto Castejon Lafuente <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Vigo<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1995<\/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>Eusebio Corbacho Rosas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Vaja Tarieladze <\/li>\n<li>Fernando Cobos Diaz (vocal)<\/li>\n<li>Jes\u00fas Bastero Eleizalde (vocal)<\/li>\n<li>Oscar Blasco De La Cruz (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alberto Castejon Lafuente La memoria esta centrada en la integracion de funciones que, definidas en un espacio [&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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