{"id":86428,"date":"2018-03-10T00:11:03","date_gmt":"2018-03-10T00:11:03","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/sobre-jb-triples-reales\/"},"modified":"2018-03-10T00:11:03","modified_gmt":"2018-03-10T00:11:03","slug":"sobre-jb-triples-reales","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/sobre-jb-triples-reales\/","title":{"rendered":"Sobre jb*-triples reales"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Antonio  Miguel Peralta Pereira <\/strong><\/h2>\n<p>La tesis presentada por d. Antonio miguel peralta para optar el grado de doctor en ciencias matem\u00e1ticas por la universidad de granada supone un importante avance en la reciente teor\u00eda de los jb *-triples reales. Estos fueron intoducidos por j.M. Isidro, w. Kaup y a. Rodriguez-palacios, en un trabajo publicado  en 1995, como los subtriples reales cerrados de los jb*-triples reales. Estos fueron introducidos por j.M. Isidro, w. Kaup y a. Rodr\u00edguez-palacios, en un trabajo pionera se inicia tambi\u00e9n el resultados para jb*-triples reales que son espacios de banach duales y, a la vista de los resultados para jb *-triples complejos duales de barton  y timoney en 1986, se dejan como problemas abiertos las siguientes dos cuestiones:  &#8211; la unicidad del predual de un jb*-triple real dual.  &#8211; la d\u00e9bil*-continuidad separada del producto triple de un jb*-triple real dual.  ambos problemas abiertos se responden por la afirmativa en la memoria de d. Antonio miguel peralta y representan, a mi modo de ver, el principal resultado de \u00e9sta. Adem\u00e1s, se dan respuestas plenamente satisfactorias a las siguientes otras dos interesantes cuestiones:  -el estudio de las derivaciones en los jb*-triples reales (continuidad, internidad, y densidad de las internas), en analog\u00eda con los resultados conocidos en caso complejo y principalmente debidos a barton &amp; friedmann, ho y upmeier.  -el estudio de la geometr\u00eda de los jbw*-triples reales, culminando en el teorema de descomposici\u00f3n at\u00f3mica de un jbw*-triple real y en un teorema de gelfand-naimark para jb*-triples reales, en analog\u00eda con los resultados conocidos en ambiente complejo y debidos principalmente a edwards$ruttimann y friedman$russo.  los argumentos que se utilizan en las demostraciones se cimentan en resultados relevantes del an\u00e1lisis funcional(espacios bien enmarcados de godefroy, teoremas de banach-alaoglu y krein-milman) y se emplean asiduamente las t\u00e9cnicas de \u00ab\u00bbpaso al jb*-triple com<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Sobre jb*-triples reales<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Sobre jb*-triples reales <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Antonio  Miguel Peralta Pereira <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 19\/09\/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>Juan Martinez Moreno<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: wilhelm Kaup <\/li>\n<li> Isidro g\u00f3mez Jos\u00e9 Mar\u00eda (vocal)<\/li>\n<li>\u00e1ngel Rodr\u00edguez palacios (vocal)<\/li>\n<li>consuelo Martinez l\u00f3pez (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Antonio Miguel Peralta Pereira La tesis presentada por d. Antonio miguel peralta para optar el grado de [&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":[3564,3183,126],"tags":[3566,181440,12505,49178,10947,150604],"class_list":["post-86428","post","type-post","status-publish","format-standard","hentry","category-algebras-y-espacios-de-banach","category-analisis-y-analisis-funcional","category-matematicas","tag-angel-rodriguez-palacios","tag-antonio-miguel-peralta-pereira","tag-consuelo-Martinez-lopez","tag-isidro-gomez-jose-maria","tag-juan-Martinez-moreno","tag-wilhelm-kaup"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/86428","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=86428"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/86428\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=86428"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=86428"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=86428"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}