{"id":82958,"date":"2018-03-10T00:07:03","date_gmt":"2018-03-10T00:07:03","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/diferenciabilidad-en-espacios-de-banach\/"},"modified":"2018-03-10T00:07:03","modified_gmt":"2018-03-10T00:07:03","slug":"diferenciabilidad-en-espacios-de-banach","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/diferenciabilidad-en-espacios-de-banach\/","title":{"rendered":"Diferenciabilidad en espacios de banach."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Julio Benitez Lopez <\/strong><\/h2>\n<p>Esta tesis se centra en el estudio de la diferenciabilidad de funciones definidas sobre subconjuntos de espacios de banach, en especial se estudian las funciones convexas y continuas y m\u00e1s concretamente la norma.  se demuestra la \u00edntima relaci\u00f3n entre los diferentes tipos de diferenciabilidad (fr\u00e9chet, g\u00e1teaux, fuertemente subdiferenciable, bastante suave, &#8230;) Y la estructura topol\u00f3gica de los espacios de banach donde est\u00e1n definidas las funciones (espacios de asplund, separabilidad, el espacio dual no tiene subespacios propios normantes, normas \u00e1speras &#8230;).  se concluye la tesis con el estudio de la relaci\u00f3n entre las propiedades topol\u00f3gicas anteriormente dichas y la inmersi\u00f3n de subconjuntos d\u00e9bil-* homeomorfos al conjunto ternario de cantor en la esfera unidad del dual.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Diferenciabilidad en espacios de banach.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Diferenciabilidad en espacios de banach. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Julio Benitez Lopez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Valencia<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 14\/01\/2000<\/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 urena <\/li>\n<li>Jos\u00e9 Bonet solves (vocal)<\/li>\n<li>Manuel L\u00f3pez pellicer (vocal)<\/li>\n<li> Lopez fernandez-asenjo felix f. (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Julio Benitez Lopez Esta tesis se centra en el estudio de la diferenciabilidad de funciones definidas sobre [&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":[3564,3183,126,16820],"tags":[41693,176073,176074,16887,6820,63195],"class_list":["post-82958","post","type-post","status-publish","format-standard","hentry","category-algebras-y-espacios-de-banach","category-analisis-y-analisis-funcional","category-matematicas","category-politecnica-de-valencia","tag-jose-bonet-solves","tag-julio-benitez-lopez","tag-lopez-fernandez-asenjo-felix-f","tag-manuel-lopez-pellicer","tag-manuel-valdivia-urena","tag-vicente-montesinos-santalucia"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/82958","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=82958"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/82958\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=82958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=82958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=82958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}