{"id":28271,"date":"2018-03-09T09:20:54","date_gmt":"2018-03-09T09:20:54","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/operadores-multilineales-absolutamente-sumantes\/"},"modified":"2018-03-09T09:20:54","modified_gmt":"2018-03-09T09:20:54","slug":"operadores-multilineales-absolutamente-sumantes","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/operadores-multilineales-absolutamente-sumantes\/","title":{"rendered":"Operadores multilineales absolutamente sumantes"},"content":{"rendered":"<h2>Tesis doctoral de <strong> David Perez Garc\u00eda <\/strong><\/h2>\n<p>La presente tesis est\u00e1 dedicada al estudio de distintas clases de operadores multilineales absolutamente sumantes entre espacios de banach. En primer lugar se prsenta una panor\u00e1mica sobre los distintos tipos de operadores absolutamente sumantes que han sido considerados en la literatura, y se describen los resultados m\u00e1s relevantes de la teor\u00eda. En este contexto se obtienen algunos resultados nuevos, de los cuales destacaremos  los que se refieren a las propiedades de incondicionalidad local, as\u00ed como la extensi\u00f3n multilineal del teorema de grothendieck. De este \u00faltimo resultado se obtienen interesantes aplicaciones a las clases de schatten y al caso no-conmutativo (es decir, para c*-\u00e1lgebras). A continuaci\u00f3n se introduce la definici\u00f3n de un nuevo tipo de operadores multilineales absolutamente sumantes, los llamados \u00abm\u00faltiples sumantes\u00bb. Se demuestra que esta clase de operadores posee buenas propiedades estructurales, sobre todo las propiedades de ideal, y se estudian detenidamente sus propiedades de inclusi\u00f3n. Tambi\u00e9n se considera su estabilidad con respecto a la extensi\u00f3n de aron-berner de operadores multilineales. M\u00e1s adelante se obtienen nuevas versiones del teorema de grothendieck en este contexto, as\u00ed como algunas aplicaciones de las mismas. Finalmente, se realiza un estudio de los operadores m\u00faltiples-sumantes en los espacios c(k), incluyendo su representaci\u00f3n a trav\u00e9s de polimedidas y su relaci\u00f3n con los operadores integrales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Operadores multilineales absolutamente sumantes<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Operadores multilineales absolutamente sumantes <\/li>\n<li><strong>Autor:<\/strong>\u00a0 David Perez Garc\u00eda <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/01\/2004<\/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>Fernando Bombal Gordon<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  Martinez ansemil Jos\u00e9 Mar\u00eda <\/li>\n<li>Manuel Maestre vera (vocal)<\/li>\n<li>joseph Diestel (vocal)<\/li>\n<li> Gutierrez del alamo gil joaquin (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de David Perez Garc\u00eda La presente tesis est\u00e1 dedicada al estudio de distintas clases de operadores multilineales absolutamente [&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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