{"id":37586,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ecuaciones-funcionales-relativas-a-ordenaciones-y-semigrupos\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"ecuaciones-funcionales-relativas-a-ordenaciones-y-semigrupos","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/ecuaciones-funcionales-relativas-a-ordenaciones-y-semigrupos\/","title":{"rendered":"Ecuaciones funcionales relativas a ordenaciones y semigrupos."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Esteban Oloriz Urriza <\/strong><\/h2>\n<p>Se estudian algunas ecuaciones funcionales definidas sobre conjuntos dotados de una ordenaci\u00f3n y tales que, o bien tienen como soluciones funciones de representaci\u00f3n num\u00e9rica de la estructura ordenada, o bien reflejan alguna propiedad del conjunto o la ordenaci\u00f3n.  se introduce, como t\u00e9cnica novedosa de representaci\u00f3n, el empleo de aplicaciones bivariantes, aplic\u00e1ndolo con \u00e9xito a la b\u00fasqueda de funciones de utilidad en conjuntos totalmente preordenados, funciones de utilidad y pseudoutilidad aditiva en semigrupos ordenados y funciones de representaci\u00f3n en conjuntos dotados de un orden intervalo. La caracterizaci\u00f3n de la existencia de representaci\u00f3n para \u00f3rdenes intervalos era, hasta la fecha, un problema abierto desde que fue planteado por fishburn en 1970.  se obtiene una caracterizaci\u00f3n completa de los semigrupos totalmente preordenados que admiten pseudutilidad aditiva, sin la exigencia habitual de suponer invariancia por traslaciones.  se resuelve la ecuaci\u00f3n funcional de la asociatividad, en condiciones muy generales.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ecuaciones funcionales relativas a ordenaciones y semigrupos.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ecuaciones funcionales relativas a ordenaciones y semigrupos. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Esteban Oloriz Urriza <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 P\u00fablica de navarra<\/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>Esteban Indura\u00edn Eraso<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Enrique Castillo Ron <\/li>\n<li>Manuel Besada Morais (vocal)<\/li>\n<li>Bienvenido Cuartero Ruiz (vocal)<\/li>\n<li> Leranoz Isturiz Mar\u00eda  Camino (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Esteban Oloriz Urriza Se estudian algunas ecuaciones funcionales definidas sobre conjuntos dotados de una ordenaci\u00f3n y tales [&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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