{"id":85489,"date":"2018-03-10T00:09:57","date_gmt":"2018-03-10T00:09:57","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ciclicidad-de-operadores-teoria-espectral\/"},"modified":"2018-03-10T00:09:57","modified_gmt":"2018-03-10T00:09:57","slug":"ciclicidad-de-operadores-teoria-espectral","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/ciclicidad-de-operadores-teoria-espectral\/","title":{"rendered":"Ciclicidad de operadores: teoria espectral."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Eva Antonia Gallardo Gutierrez <\/strong><\/h2>\n<p>Un operador lineal y continuo t actuando sobre un espacio de hilbert h se dice c\u00edclico si existe un vector x tal que la variedad lineal engendrada por la \u00f3rbita{tn x:n&gt;- 0} es densa en h. Si la \u00f3rbita misma es densa, entonces t se dice hiperc\u00edclico. En esta memoria se caracteriza completamente el comportamiento c\u00edclico e hiperc\u00edclico de los m\u00faltiplos escalares de los operadores de composici\u00f3n cuyos s\u00edmbolos son transformaciones de m\u00ed\u00b6ebius en los espacios de dirichlet con pesos. Como ejemplos particulares de estos espacios tenemos los espacios cl\u00e1sicos de bergman, hardy y dirichlet. Como consecuencia, se completan algunos trabajos recientes en dichos espacios. en particular, se determina exactamente cuando los operadores de composici\u00f3n dejan de ser c\u00edclicos o hiperc\u00edclicos. En casi todos los casos el corte de la ciclicidad e hiperciclicidad de los multiplos escalares est\u00e1 determinado por el espectro del operador. En particular, el espacio de dirichlet juega un papel fundamental en el corte de las diferentes propiedades c\u00edclicas. la mayor\u00eda de los casos involucran t\u00e9cnicas innovadoras en el contexto de los operadores de composici\u00f3n. Las ideas utilizadas para resolver estos problemas van desde la medida de haar de grupos multiplicativos localmente compactos hasta los polinomios de laguerre, pasando por t\u00e9cnicas del an\u00e1lisis arm\u00f3nico, teor\u00eda de beurling y espacios de hilbert funcionales y, en general, del an\u00e1lisis funcional y la variable compleja. Tambi\u00e9n se introducen algunas ideas nuevas en el contexto de operadores c\u00edclicos en general.  por otra parte, un operador lineal y continuo t actuando sobre un espacio de hilbert h se dice superc\u00edclico si existe un vector x e h tal que la \u00f3rbita proyectiva {   tn f:n&gt;- 0 y   e c} es densa en h. Se presenta un m\u00e9todo basado en una idea geom\u00e9trica muy simple que permite decidir cuando un operador no es superc\u00edclico. Usando t\u00e9cnicas que involucran propiedades de ort<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ciclicidad de operadores: teoria espectral.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ciclicidad de operadores: teoria espectral. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Eva Antonia Gallardo Gutierrez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Sevilla<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 30\/06\/2000<\/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>Alfonso Montes Rodriguez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: tom\u00e1s Dom\u00ednguez benavides <\/li>\n<li>c. Cowen carl (vocal)<\/li>\n<li>h. Shapiro joel (vocal)<\/li>\n<li>\u00e1ngel Rodr\u00edguez palacios (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Eva Antonia Gallardo Gutierrez Un operador lineal y continuo t actuando sobre un espacio de hilbert h [&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 center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[10643,3183,16889,126,10715],"tags":[168686,3566,179969,179968,179970,33014],"class_list":["post-85489","post","type-post","status-publish","format-standard","hentry","category-algebra-de-operadores","category-analisis-y-analisis-funcional","category-espacios-de-hilbert","category-matematicas","category-sevilla","tag-alfonso-montes-rodriguez","tag-angel-rodriguez-palacios","tag-c-cowen-carl","tag-eva-antonia-gallardo-gutierrez","tag-h-shapiro-joel","tag-tomas-dominguez-benavides"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/85489","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=85489"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/85489\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=85489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=85489"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=85489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}