Projetive generators and resolutions of identity in Banach spaces.

Título inglés	Projetive generators and resolutions of identity in Banach spaces.
Título español	Generadores proyectivos y resoluciones de identidad en espacios de Banach.
Autor/es	Orihuela, J. ; Valdivia, M.
Organización	Dep. Mat. Fac. Quím. Mat. Univ. Murcia, Murcia, España;Dep. Anál. Mat. Fac. Mat. Univ. Valencia, Valencia, España
Revista	0214-3577
Publicación	1989, 2 (SUPL.): 179-199, 33 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	We introduce the notion of projective generator on a given Banach space. Weakly countably determined and dual spaces with the Radon Nikodým property have projective generators. If a Banach space has projective generator, then it admits a projective resolution of the identity. When a Banach space and its dual both have a projective generator then the space admits a shrinking resolution of the identity. These results include previous ones of Amir and Lindenstrauss, John and Zizler, Gul?ko, Vaak, Tacon, Fabian, and Godefroy; and they show how to deal with the general problem of constructing projections and ordering them into a long sequence in a unified way.
Clasificación UNESCO	120202
Palabras clave español	Espacios de Banach ; Generadores
Código MathReviews	MR1057218
Código Z-Math	Zbl 0717.46009
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