{"id":132686,"date":"2018-03-11T12:58:42","date_gmt":"2018-03-11T12:58:42","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/descomposiciones-de-toeplitz-en-espacios-localmente-convexos\/"},"modified":"2018-03-11T12:58:42","modified_gmt":"2018-03-11T12:58:42","slug":"descomposiciones-de-toeplitz-en-espacios-localmente-convexos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/descomposiciones-de-toeplitz-en-espacios-localmente-convexos\/","title":{"rendered":"Descomposiciones de toeplitz en espacios localmente convexos."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Juan  Manuel Virues Gavira <\/strong><\/h2>\n<p>Sean e un espacio localmente convexo, (pn) una sucesion de proyecciones continuas en e que son ortogonales dos a dos y a un triangulo regular. Se dice que la sucesion (pn) es una descomposicion de toeplitz de e con respecto a la matriz a si para cada x perteneciente a e la serie sumatorio de pn(x) converge a x en el sentido del metodo de sumabilidad inducido por a.  el problema que se aborda es el siguiente: que propiedades de tipo vectorial topologico, y bajo que condiciones, pueden pasar de los subespacios en := pn(e) al espacio e?.  el trabajo esta dividido en tres capitulos. En el primero, que es de tipo introductorio, se recogen los conceptos de la teoria clasica de la sumabilidad que se utilizaran a lo largo de la memoria. En el segundo se estudian las propiedades de la descomposicion que nos permitiran dar respuestas al problema planteado:  equicontinuidad, contractividad, simplicidad, distintos grados de completitud y propiedades de convergencia uniforme. Tambien se analizan las relaciones entre ellas y se aportan ejemplos para distinguirlas. El tercer capitulo contiene las aportaciones mas significativas de la tesis, en el se dan resultados sobre el paso desde los subespacios (en) hasta el espacio e de las propiedades de ser reflexivo, completo, tonelado, de montel, casi-normable o de schwartz. Se concluye con una seccion dedicada al caso particular de los espacios con base de cesaro.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Descomposiciones de toeplitz en espacios localmente convexos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Descomposiciones de toeplitz en espacios localmente convexos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Juan  Manuel Virues Gavira <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 27\/06\/1996<\/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>Pedro Jos\u00e9 Pa\u00fal Escolano<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: pedro P\u00e9rez carreras <\/li>\n<li>karl-goswin Grosse-erdmann (vocal)<\/li>\n<li>Miguel Florencio lora (vocal)<\/li>\n<li>Juan  Carlos D\u00edaz  alcaide (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Juan Manuel Virues Gavira Sean e un espacio localmente convexo, (pn) una sucesion de proyecciones continuas en [&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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