{"id":86488,"date":"2018-03-10T00:11:07","date_gmt":"2018-03-10T00:11:07","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/indice-numerico-de-un-espacio-de-banach\/"},"modified":"2018-03-10T00:11:07","modified_gmt":"2018-03-10T00:11:07","slug":"indice-numerico-de-un-espacio-de-banach","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/indice-numerico-de-un-espacio-de-banach\/","title":{"rendered":"\u00abindice num\u00e9rico de un espacio de banach\u00bb"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Miguel Mart\u00edn Su\u00e1rez <\/strong><\/h2>\n<p>El \u00edndice num\u00e9rico de un espacio de banach se define como la mayor constante de equiValencia entre el radio num\u00e9rico y la norma usual en el \u00e1lgebra de todos los operadores lineales y continuos sobre \u00e9l. Este concepto fue introducido por g. Lumer en 1968, y estudiado por matem\u00e1ticos como f. Bonsall, j. Duncan, c. Mcgregor, j. Pryce y a. White.  en la tesis se hace un estudio sistem\u00e1tica de este concepto. Por una parte, se estudia el comportamiento del \u00edndice num\u00e9rico respecto a operaciones tales como sumas de espacios de banach o paso a funciones con valores vectoriales, extendiendo resultados cl\u00e1sicos sobre c\u00e1lculo de \u00edndices. Tambi\u00e9n se estudian las implicaciones, tanto de tipo isom\u00e9trico como isom\u00f3rfico, que tiene dicho \u00edndice num\u00e9rico. Con respecto a las primeras, se estudia la relaci\u00f3n entre los espacios que tienen \u00edndice n\u00famerico 1 y otras propiedades estudiadas previamente como la 3.2. I.P., Los cl-espacios o los casi-cl-espacios, as\u00ed como la propiedad de daugavet. El punto de vista isom\u00f3rfico es novedoso en esta tesis. Se estudia el conjunto de valores del \u00edndice num\u00e9rico que puede tener un espacio cuando lo dotamos de todas las posibles normas equivalentes que admite. Tambi\u00e9n se estudian los espacios de banach que admiten una norma equivalente con \u00edndica num\u00e9rico 1.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>\u00abindice num\u00e9rico de un espacio de banach\u00bb<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 \u00abindice num\u00e9rico de un espacio de banach\u00bb <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Miguel Mart\u00edn Su\u00e1rez <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Granada<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 22\/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>Rafael Pay\u00e1 Albert<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: \u00e1ngel Rodr\u00edguez palacios <\/li>\n<li>catherine Finet (vocal)<\/li>\n<li>oscar Blasco de la cruz (vocal)<\/li>\n<li> Moreno diaz Jos\u00e9 pedro (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Miguel Mart\u00edn Su\u00e1rez El \u00edndice num\u00e9rico de un espacio de banach se define como la mayor constante [&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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