{"id":94567,"date":"2018-03-11T10:14:18","date_gmt":"2018-03-11T10:14:18","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/some-compactness-criteria-in-locally-convex-and-banach-spaces\/"},"modified":"2018-03-11T10:14:18","modified_gmt":"2018-03-11T10:14:18","slug":"some-compactness-criteria-in-locally-convex-and-banach-spaces","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/algebras-y-espacios-de-banach\/some-compactness-criteria-in-locally-convex-and-banach-spaces\/","title":{"rendered":"Some compactness criteria in locally convex and banach spaces"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Ignacio Monterde P\u00e9rez <\/strong><\/h2>\n<p>Cap\u00edtulo 1: se estudian diferentes clases de conjuntos compactos. En particular, la clase de conjuntos convexo-compactos se analiza en profundidad. A partir de estas clases de conjuntos, proporcionamos criterios de compacidad mediante la verificaci\u00f3n de un conjunto de condiciones bastante relajadas. Para asegurar que estamos realmente tratando con nociones m\u00e1s generales, prestamos especial atenci\u00f3n a la separaci\u00f3n de las clases introducidas. Tambi\u00e9n proporcionamos algunos resultados sobre estabilidad de las clases de conjuntos compactos usadas. Extendemos teoremas de valdivia y orihuela, as\u00ed como tambi\u00e9n mejoramos un teorema de howard.  cap\u00edtulo 2: formulamos algunos resultados sobre discos de banach y probamos que todo subconjunto convexo y relativamente convexo-compacto de un espacio localmente convexo est\u00e1 contenido en un disco de banach. Se estudian en qu\u00e9 casos algunas propiedades, como la separabilidad o la reflexividad, se conservan cuando se pasa a los espacios de banach generados.  cap\u00edtulo 3: se analizan la propiedad drop, la propiedad (alfa) y la condici\u00f3n (beta). Una t\u00e9cnica sencilla proporciona pruebas breves de algunos resultados sobre la propiedad drop en espacios localmente convexos. Se prueba que la propiedad quasi-drop es equivalente a la propiedad drop para conjuntos numerablemente cerrados. Probamos que las propiedades drop y quasi-drop, la propiedad (alfa) y la condici\u00f3n (beta) son separablemente determinadas. Tambi\u00e9n estudiamos la relaci\u00f3n entre la propiedad drop, la propiedad (alfa), la condici\u00f3n (beta), la compacidad y la reflexividad.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Some compactness criteria in locally convex and banach spaces<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Some compactness criteria in locally convex and banach spaces <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Ignacio Monterde P\u00e9rez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 27\/06\/2009<\/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>Vicente Montesinos Santalucia<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Valdivia ure\u00f1a <\/li>\n<li>Mar\u00eda n Fabian (vocal)<\/li>\n<li>domingo Garc\u00eda rodr\u00edguez (vocal)<\/li>\n<li>Jos\u00e9 Bonet solves (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ignacio Monterde P\u00e9rez Cap\u00edtulo 1: se estudian diferentes clases de conjuntos compactos. En particular, la clase de [&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":[3564,11160,16820],"tags":[43171,147509,41693,6820,194880,63195],"class_list":["post-94567","post","type-post","status-publish","format-standard","hentry","category-algebras-y-espacios-de-banach","category-espacios-lineales-topologicos","category-politecnica-de-valencia","tag-domingo-garcia-rodriguez","tag-ignacio-monterde-perez","tag-jose-bonet-solves","tag-manuel-valdivia-urena","tag-maria-n-fabian","tag-vicente-montesinos-santalucia"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/94567","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=94567"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/94567\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=94567"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=94567"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=94567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}