{"id":35436,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/operadores-de-toeplitz-y-de-hankel\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"operadores-de-toeplitz-y-de-hankel","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/operadores-de-toeplitz-y-de-hankel\/","title":{"rendered":"Operadores de toeplitz y de hankel."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Carmen Hernandez Mancera <\/strong><\/h2>\n<p>Hemos abordado dos l\u00edneas de generalizaci\u00f3n planteadas por pt\u00e1k y vrbova en 1988 (pv) y pt\u00e1k en 1997 (p), que se basan en sustituir los operadores de desplazamiento en h2 por contracciones cualesquiera en las relaciones caracter\u00edsticas que cumplen los operadores de toeplitz y de hankel cl\u00e1sicos: si tenemos dos contracciones t1 y t2 nos queda la relaci\u00f3n x = t2xt1* para operadores de toeplitz y t2y = yt1* para operadores de hankel. Estos operadores admiten s\u00edmbolos (operadores caracterizados por relaciones de intercambio con las dilataciones isom\u00e9tricas minimales de t1 y t2) tales que el operador dado se puede reconstruir como la compresi\u00f3n del s\u00edmbolo.  el cap\u00edtulo primero de la memoria se dedica a la presentaci\u00f3n y comparaci\u00f3n de las teor\u00edas (pv) y (p).  probamos que la segunda teor\u00eda es estrictamente m\u00e1s general que la primera y damos una condici\u00f3n bajo la cual ambas teor\u00edas son esencialmente la misma. Luego extendemos a la teor\u00eda (p) los teoremas dados para la teor\u00eda (pv) (cuestiones sobre s\u00edmbolos anal\u00edticos y el teorema de kronecker) que no figuran en el art\u00edculo de pt\u00e1k de 1997. En el segundo cap\u00edtulo damos extensiones de resultados conocidos de la teor\u00eda cl\u00e1sica. Estas extensiones no son inmediatas y se proporcionan ejemplos que limitan el alcance de la teor\u00eda generalizada. Damos teoremas sobre invertibilidad, abordamos cu\u00e1ndo los s\u00edmbolos son operadores de fredholm o son compactos y estudiamos propiedades espectrales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Operadores de toeplitz y de hankel.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Operadores de toeplitz y de hankel. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Carmen Hernandez Mancera <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1998<\/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: Miguel Florencio Lora <\/li>\n<li>Vlastimil Ptak (vocal)<\/li>\n<li>Francisco Jos\u00e9 Freniche Iba\u00f1ez (vocal)<\/li>\n<li>Vasily Vsyunin (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Carmen Hernandez Mancera Hemos abordado dos l\u00edneas de generalizaci\u00f3n planteadas por pt\u00e1k y vrbova en 1988 (pv) [&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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