{"id":40211,"date":"1999-01-01T00:00:00","date_gmt":"1999-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/descriptive-banach-spaces-and-eberlein-compacta\/"},"modified":"1999-01-01T00:00:00","modified_gmt":"1999-01-01T00:00:00","slug":"descriptive-banach-spaces-and-eberlein-compacta","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/descriptive-banach-spaces-and-eberlein-compacta\/","title":{"rendered":"Descriptive banach spaces and eberlein compacta."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Luis Oncina Deltell <\/strong><\/h2>\n<p>Se estudian propiedades de espacios de banach con la propiedad jnr (jayne, namioka y rogers) y se establece la equiValencia de esta noci\u00f3n con la de espacio descriptivo de hansell. Se estudian las aplicaciones sld y se dan resultados de transferencia de propiedades como la sld (jnr), la $\/sigma$- fragmetabilidad o la identificaci\u00f3n de $\/sigma$-\u00e1lgebras de borel en el espacio de llegada, a las mismas propiedades en el de partida. Se aportan m\u00e9todos de construcci\u00f3n de aplica-ciones sld, en particular se construyen operadores sld entre espacios con bases de markusevich o con resoluciones proyectivas y el espacio co($\/gamma$). Se introduce la propiedad lsp (\u00ablinking separability property\u00bb) para espacios topol\u00f3gicos. Situ\u00e1ndo esta noci\u00f3n en el contexto de los espacios de banach se aportan ejemplos y se analizan sus propiedades, de entre estas aportaciones cabe destacar la caracterizaci\u00f3n de los espacios de asplund wcg (d\u00e9bilmente compactamente generados) en t\u00e9rminos de la propiedad lsp para la topolog\u00eda d\u00e9bil* de sus duales. Tambi\u00e9n, para espacios compactos, relaciona la lsp con la propiedad de radon-nikodym y con los compactos de corson, dando una nueva respuesta a un problema de namioka al caracterizar los compactos de radon-nikodym que son de eberlein como aquellos que tienen la propiedad lsp. En el \u00faltimo cap\u00edtulo, se utilizan las herramientas desarrolladas en la memoria para dar respuesta a un problema de srivatsa construyendo un teorema de selecci\u00f3n para multifunciones semicontinuas superiormente con dominios en espacios no metrizables.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Descriptive banach spaces and eberlein compacta.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Descriptive banach spaces and eberlein compacta. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Luis Oncina Deltell <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/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>Jose Orihuela Calatayud<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: w. Hansell roger <\/li>\n<li>an\u00edbal Molt\u00f3  mart\u00ednez (vocal)<\/li>\n<li>Rafael Pay\u00e1 albert (vocal)<\/li>\n<li>bernardo Cascales salinas (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Luis Oncina Deltell Se estudian propiedades de espacios de banach con la propiedad jnr (jayne, namioka y [&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":[3564,3183,11160,126,3385,8235],"tags":[81930,81928,3567,102848,3389,102849],"class_list":["post-40211","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-medida-integracion-y-area","category-murcia","tag-anibal-molto-Martinez","tag-bernardo-cascales-salinas","tag-jose-orihuela-calatayud","tag-luis-oncina-deltell","tag-rafael-paya-albert","tag-w-hansell-roger"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/40211","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=40211"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/40211\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=40211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=40211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=40211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}