A characterization of subspaces and quotients of reflexive banach spaces with unconditional bases
Johnson, W. B. ; Zheng, Bentuo
Duke Math. J., Tome 141 (2008) no. 1, p. 505-518 / Harvested from Project Euclid
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We prove that the dual or any quotient of a separable reflexive Banach space with the unconditional tree property (UTP) has the UTP. This is used to prove that a separable reflexive Banach space with the UTP embeds into a reflexive Banach space with an unconditional basis. This solves several longstanding open problems. In particular, it yields that a quotient of a reflexive Banach space with an unconditional finite-dimensional decomposition (UFDD) embeds into a reflexive Banach space with an unconditional basis
Publié le : 2008-02-15
Classification:  46B03,  46B20 
@article{1203087635,
     author = {Johnson, W. B. and Zheng, Bentuo},
     title = {A characterization of subspaces and quotients of reflexive banach spaces with unconditional bases},
     journal = {Duke Math. J.},
     volume = {141},
     number = {1},
     year = {2008},
     pages = { 505-518},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1203087635}
}

Johnson, W. B.; Zheng, Bentuo. A characterization of subspaces and quotients of reflexive banach spaces with unconditional bases. Duke Math. J., Tome 141 (2008) no. 1, pp.  505-518. http://gdmltest.u-ga.fr/item/1203087635/