{"id":89877,"date":"2018-03-10T00:15:09","date_gmt":"2018-03-10T00:15:09","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/convexidad-lisura-y-teoria-de-operadores-inducidas-por-una-cantidad-conjuntista\/"},"modified":"2018-03-10T00:15:09","modified_gmt":"2018-03-10T00:15:09","slug":"convexidad-lisura-y-teoria-de-operadores-inducidas-por-una-cantidad-conjuntista","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/convexidad-lisura-y-teoria-de-operadores-inducidas-por-una-cantidad-conjuntista\/","title":{"rendered":"Convexidad, lisura y teor\u00eda de operadores inducidas por una cantidad conjuntista"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Sergio Falc\u00f3n Santana <\/strong><\/h2>\n<p>En esta memoria,la herramienta fundamental es el concepto de cantidad conjuntista que es una generalizaci\u00f3n del concepto de medida de no compacidad.  se introducen los espacio u-uniformemente convexos (u-uc), u-localmente uniformemente convexos (u-luc) y los u-estrictamente convexos (u-sc), siendo u una cantidad conjuntista general. Se estudia ncondiciones sobre la cantiad conjuntista para que la clase de los u-luc contenga a los reflexivos (de forma an\u00e1loga a la convexidad no compacta y d\u00e9bil no compacta). Se aplica estos resultados a la teor\u00eda de puntos expuestos y fuertemente expuestos, generaliz\u00e1ndose un resultado debido a kutzarova. A continuaci\u00f3n se pueba que todo espacio b-luc donde b es la media de d\u00e9bil nocompacidad de de blasi admite uan norma equivalente que lo hace x-luc, donde x es la medida de nocompacidad de haudorff, obteni\u00e9ndose as\u00ed la versi\u00f3n no compacta de un reciente resultado dado por molt\u00f3-orihuela-troyanski y valdivia.  en una segunda parte, se introduce el concepto de u-variaci\u00f3n asociada a un operador y se obtiene una generalizaci\u00f3n de la propiedad de aproximaci\u00f3n, concepto fundamental en an\u00e1lisis funcional. Asimismo se introducen los operadores u-tauberianos como generalizaci\u00f3n de los operadores tauberiano cl\u00e1sicos. Se prueban ente otros resultados que el n\u00facleo de un operador u-tauberiano es u-uc, hecho que generaliza el resultado que se verifica en los operadores tuaberianos cl\u00e1sicos. Finaliza esta segunda parte estudi\u00e1ndose las condiciones m\u00ednimas par que pueda verificarse un teorema de tacon, relacionado con la potencia de operadores.  en la tercera y \u00faltima parte se estudia la cantidad conjuntista inducida por la distancia de hausdorff a la familia de los conjuntos condicionalmente d\u00e9bilmente compactos.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Convexidad, lisura y teor\u00eda de operadores inducidas por una cantidad conjuntista<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Convexidad, lisura y teor\u00eda de operadores inducidas por una cantidad conjuntista <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Sergio Falc\u00f3n Santana <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Palmas de gran canaria<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 24\/04\/2001<\/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>Kishin Sandarangani Sandarangani<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Rafael alejandro Montenegro armas <\/li>\n<li>Antonio Martin\u00f3n cejas (vocal)<\/li>\n<li>v\u00edctor Kolyada (vocal)<\/li>\n<li>Jorge Betancor p\u00e9rez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sergio Falc\u00f3n Santana En esta memoria,la herramienta fundamental es el concepto de cantidad conjuntista que es una [&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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