{"id":26343,"date":"2018-03-09T09:18:07","date_gmt":"2018-03-09T09:18:07","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/algunas-aplicaciones-de-los-modelos-funcionales-de-operadores-en-espacios-de-hilbert\/"},"modified":"2018-03-09T09:18:07","modified_gmt":"2018-03-09T09:18:07","slug":"algunas-aplicaciones-de-los-modelos-funcionales-de-operadores-en-espacios-de-hilbert","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sevilla\/algunas-aplicaciones-de-los-modelos-funcionales-de-operadores-en-espacios-de-hilbert\/","title":{"rendered":"Algunas aplicaciones de los modelos funcionales de operadores en espacios de hilbert"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Sergio Bermudo Navarrete <\/strong><\/h2>\n<p>El objeto central de esta tesis es el estudio de los operadores x en espacios de hilbert que verifican ecuaciones de la forma (1) x=t(x)xt(s)* donde {t(s): en s} es una representaci\u00f3n contractiva de un semigrupo s, llamadas operadores de toeplitz generalizados, y (2) ax=xb con x y x* inyectivos, que responden al problema de caracterizar cu\u00e1ndo a y b con casi-semejantes. en ambos casos las herramientas utilizadas son los modelos funcionales de operadores: la dilataci\u00f3n isom\u00e9trica minimal del semigrupo en el caso (1) y el modelo funcional de nikolski y vasyunin en el caso (2).  en el primer cap\u00edtulo, dedicado a la ecuaci\u00f3n (1), se prueban la existencia y unicidad de s\u00edmbolos para operadores de toeplitz generalizados, la equiValencia del planteamiento con aproximaciones alternativas formuladas por muhly y douglas en los a\u00f1os 70, la caracterizaci\u00f3n de la invertibilidad para operadores anal\u00edticos y la caracterizaci\u00f3n de cu\u00e1ndo los operadores de toeplitz generalizados son operadores de fredholm. Se incluyen ejemplos de operadores bien conocidos en la literatura, como los de wiener-hopf, que resultan ser operadores de toeplitz generalizados y, finalmente, se muestra mediante un ejemplo la imposibilidad de extender la teor\u00eda correspondiente a operadores de hankel generalizados para semigrupos de dimensi\u00f3n mayor que 1.  en el segundo cap\u00edtulo, dedicado a la ecuaci\u00f3n (2), se prueban teoremas de caracterizaci\u00f3n de la casi-semejanza de contracciones cuyas funciones caracter\u00edsticas son matrices de dimensi\u00f3n 1&#215;2 o 2&#215;2 singulares. Estas caracterizaciones se dan en t\u00e9rmino de la factorizaci\u00f3n en sus partes interior, exterior e isom\u00e9tricas de dichas matrices.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Algunas aplicaciones de los modelos funcionales de operadores en espacios de hilbert<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Algunas aplicaciones de los modelos funcionales de operadores en espacios de hilbert <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Sergio Bermudo Navarrete <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 17\/10\/2003<\/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>Carmen Hern\u00e1ndez Mancera<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Miguel Florencio lora <\/li>\n<li>stefania Marcantognini palacios (vocal)<\/li>\n<li>Jos\u00e9 Bonet solves (vocal)<\/li>\n<li>dragan Vukotic jovsic (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Sergio Bermudo Navarrete El objeto central de esta tesis es el estudio de los operadores x 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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