{"id":34927,"date":"1998-01-01T00:00:00","date_gmt":"1998-01-01T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/topologias-asociadas-a-subconjuntos-normantes-en-espacios-de-banach\/"},"modified":"1998-01-01T00:00:00","modified_gmt":"1998-01-01T00:00:00","slug":"topologias-asociadas-a-subconjuntos-normantes-en-espacios-de-banach","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/topologias-asociadas-a-subconjuntos-normantes-en-espacios-de-banach\/","title":{"rendered":"Topolog\u00edas asociadas a subconjuntos normantes en espacios de banach."},"content":{"rendered":"<h2>Tesis doctoral de <strong> Guillermo Manjabacas Tendero <\/strong><\/h2>\n<p>Se estudian propiedades de subconjuntos de un espacio de banach que son compactos para topolog\u00edas de la forma \/sigma (x,b) donde b es un subconjunto normante de la bola dual. En concreto se dan condiciones nuevas que aseguren: a) la validez de una propiedad de tipo krein -smulian para topolog\u00edas. \/Sigma (x,b), es decir, cu\u00e1ndo la envoltura convexa y \/sigma- (x,b)-cerrada de un subconjunto \/sigma (x,b) -compacto es \/sigma (x,b)-compacta; b) la fragmentabilidad por la norma de un subconjunto t-p (d)-compacto de un espacio de funciones reales continuas definidas en un compacto k, donde d es denso en k; c) respuestas positivas al problema de la frontera referente a si los subconjuntos acotados y \/sigma (x,b)-compactos son d\u00e9bilmente compactos cuando b es una boundary de la bola dual.  finalmente, se dan aplicaciones de los resultados anteriores a espacios de banach concretos: \/ell 1(\/gamma); l 1(\/mu) para una medida vectorial \/mu, espacios de orlicz, espacios de funciones continuas de un espacio compacto en un espacio de banach y en el \/epsilon-producto de dos espacios de banach.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Topolog\u00edas asociadas a subconjuntos normantes en espacios de banach.<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Topolog\u00edas asociadas a subconjuntos normantes en espacios de banach. <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Guillermo Manjabacas Tendero <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Murcia<\/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>Bernardo Cascales Salinas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jose Orihuela Calatayud <\/li>\n<li>Francisco Jos\u00e9 Freniche Iba\u00f1ez (vocal)<\/li>\n<li>Vaclav Zizler (vocal)<\/li>\n<li>Isaac Namioka (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Guillermo Manjabacas Tendero Se estudian propiedades de subconjuntos de un espacio de banach que son compactos para 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