{"id":99968,"date":"2018-03-11T10:21:16","date_gmt":"2018-03-11T10:21:16","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/aproximacion-por-series-en-espacios-de-funciones-continuas\/"},"modified":"2018-03-11T10:21:16","modified_gmt":"2018-03-11T10:21:16","slug":"aproximacion-por-series-en-espacios-de-funciones-continuas","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/topologia-general\/aproximacion-por-series-en-espacios-de-funciones-continuas\/","title":{"rendered":"Aproximaci\u00f3n por series en espacios de funciones continuas"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Esptiben Rojas Bernilla <\/strong><\/h2>\n<p>La tesis trata del estudio de la representaci\u00f3n y aproximaci\u00f3n de funciones por series de funciones continuas, donde hemos generado un nuevo m\u00e9todo topol\u00f3gico de aproximaci\u00f3n en espacios de funciones continuas. introducimos el concepto de series localmente convergentes. Se demuestra una extensi\u00f3n del teorema de stone-weierstrass para espacios lindeloff localmente compactos y posteriormente para espacios paracompactos localmente.Se intoduce el concepto de s- separaci\u00f3n local de conjuntos cero para obtener resultados de aproximaci\u00f3n en espacios de lindeloff. adem\u00e1s se aborda el estudio de la aproximaci\u00f3n de series de funciones continuas cuyo rango es un espacio vectorial normado, extendiendo el concepto de series localmente convergentes. Se establece los conceptos de separaci\u00f3n debil, z- separaci\u00f3n y la separaci\u00f3n total, para probar resultados de aproximaci\u00f3n para funciones de rango paracompacto y separable.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Aproximaci\u00f3n por series en espacios de funciones continuas<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Aproximaci\u00f3n por series en espacios de funciones continuas <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Esptiben Rojas Bernilla <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Jaume i de castell\u00f3n<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/03\/2010<\/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>Salvador Hern\u00e1ndez Mu\u00f1oz<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: manuel Sanchis lopez <\/li>\n<li>Jos\u00e9 Mar\u00eda Almira picazo (vocal)<\/li>\n<li>carmen Fern\u00e1ndez rosell (vocal)<\/li>\n<li>valent\u00edn Gregori gregori (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Esptiben Rojas Bernilla La tesis trata del estudio de la representaci\u00f3n y aproximaci\u00f3n de funciones por series [&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 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