{"id":2633,"date":"1994-01-01T00:00:00","date_gmt":"1994-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/1994\/01\/01\/algunos-aspectos-de-las-sumas-generalizadas-de-espacios-normados\/"},"modified":"1994-01-01T00:00:00","modified_gmt":"1994-01-01T00:00:00","slug":"algunos-aspectos-de-las-sumas-generalizadas-de-espacios-normados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/algunos-aspectos-de-las-sumas-generalizadas-de-espacios-normados\/","title":{"rendered":"Algunos aspectos de las sumas generalizadas de espacios normados"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Jose Oliveros Troncoso <\/strong><\/h2>\n<p>Se define el espacio  -suma de la familia de espacios normados (ei) iei, siendo  un espacio normal de familias escalares, asi:    (ei)iei := x=(xi)iei : xieei y (!!Xi!!)Ieie  . A este se le dota de una topolog\u00eda localmente convexa, de manera natural, en funcion de la topolog\u00eda de   y la de cada ei. Se caracteriza el espacio -dual de kothe generalizado como el espacio  x-suma de la familia (ei)iei. Se establece que si   es completo (localmente completo), entonces   (ei)  es completo (localmente completo), y que el completado de   (ei) es (ei) , donde   es el completado de   y ei el completado de ei. La tonelacion de   (ei)  se establece en dos casos: 1) cuando card(i) no es medible, y 2) cuando todos los ei=e con card(e) no medible. Se establece tambien la ultrabornolog\u00eda de   (ei)  si card(i) no es medible.  todo ello requiere un estudio previo (recogido en la primera parte del trabajo) del espacio   en cuanto a la completitud y tonelacion.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algunos aspectos de las sumas generalizadas de espacios normados<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algunos aspectos de las sumas generalizadas de espacios normados <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Jose Oliveros Troncoso <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1994<\/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>Miguel Florencio Lora<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Pedro P\u00e9rez Carreras <\/li>\n<li>Luis M. Arias De Reyna Martinez (vocal)<\/li>\n<li>Fernando Bombal Gordon (vocal)<\/li>\n<li>Pedro Jos\u00e9 Pa\u00fal Escolano (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Jose Oliveros Troncoso Se define el espacio -suma de la familia de espacios normados (ei) iei, siendo [&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":[3564,3183,11160,126,10715],"tags":[4782,11161,2109,11162,3569,11163],"class_list":["post-2633","post","type-post","status-publish","format-standard","hentry","category-algebras-y-espacios-de-banach","category-analisis-y-analisis-funcional","category-espacios-lineales-topologicos","category-matematicas","category-sevilla","tag-fernando-bombal-gordon","tag-jose-oliveros-troncoso","tag-luis-m-arias-de-reyna-Martinez","tag-miguel-florencio-lora","tag-pedro-jose-paul-escolano","tag-pedro-perez-carreras"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/2633","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=2633"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/2633\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=2633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=2633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=2633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}