{"id":15343,"date":"2018-03-09T09:02:27","date_gmt":"2018-03-09T09:02:27","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/grupos-abelianos-topologicos-y-sumabilidad\/"},"modified":"2018-03-09T09:02:27","modified_gmt":"2018-03-09T09:02:27","slug":"grupos-abelianos-topologicos-y-sumabilidad","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/grupos-abelianos-topologicos-y-sumabilidad\/","title":{"rendered":"Grupos abelianos topol\u00f3gicos y sumabilidad"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Dom\u00ednguez P\u00e9rez Xabier E. <\/strong><\/h2>\n<p>En este trabajo se presenta una noci\u00f3n de nuclearidad para grupos abelianos topol\u00f3gicos expresable en funci\u00f3n de propiedades de sumabilidad, de forma an\u00e1loga a la caracterizaci\u00f3n de los espacios nucleares dada por los resultados de grothendieck y pietsch, y se compara con la definici\u00f3n existente de grupo nuclear, debida a banaszczyk. Se demuestra que todo grupo nuclear en el sentido de banaszczyk es nuclear de acuerdo con esta nueva definici\u00f3n, y se prueba tambi\u00e9n la implicaci\u00f3n contraria en una clase general de espacios vectoriales con estructura topol\u00f3gica compatible.  adem\u00e1s de esta cuesti\u00f3n, que constituye la principal motivaci\u00f3n del trabajo, se estudian y se prueban resultados relacionados con distintas topolog\u00edas en la suma directa de grupos abelianos topol\u00f3gicos, se enuncia una versi\u00f3n del lema de schur v\u00e1lida para grupos y se estudian propedades de dualidad y cuasiconvexidad local de distintas topolog\u00edas de grupo definidas en espacios vectoriales sobre cuerpos valuados.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Grupos abelianos topol\u00f3gicos y sumabilidad<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Grupos abelianos topol\u00f3gicos y sumabilidad <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Dom\u00ednguez P\u00e9rez Xabier E. <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 29\/01\/2002<\/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>Mar\u00eda Jes\u00fas Chasco  Ugarte<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: fernando Bombal gordon <\/li>\n<li>czeslaw Bessaga (vocal)<\/li>\n<li>salvador Hern\u00e1ndez mu\u00f1oz (vocal)<\/li>\n<li>wojciech Banaszczyk (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Dom\u00ednguez P\u00e9rez Xabier E. En este trabajo se presenta una noci\u00f3n de nuclearidad para grupos abelianos topol\u00f3gicos [&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":[3183,38932,126,42129,585],"tags":[48976,48975,4782,48974,16823,48970],"class_list":["post-15343","post","type-post","status-publish","format-standard","hentry","category-analisis-y-analisis-funcional","category-grupos-topologicos","category-matematicas","category-sumabilidad-de-series","category-topologia","tag-czeslaw-bessaga","tag-dominguez-perez-xabier-e","tag-fernando-bombal-gordon","tag-maria-jesus-chasco-ugarte","tag-salvador-hernandez-munoz","tag-wojciech-banaszczyk"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/15343","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=15343"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/15343\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=15343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=15343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=15343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}