Characterising subspaces of Banach spaces with a Schauder basis having the shift property
Christian Rosendal
Studia Mathematica, Tome 204 (2011), p. 59-73 / Harvested from The Polish Digital Mathematics Library
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We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:285498 
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     title = {Characterising subspaces of Banach spaces with a Schauder basis having the shift property},
     journal = {Studia Mathematica},
     volume = {204},
     year = {2011},
     pages = {59-73},
     zbl = {1256.46001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-1-4}
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Christian Rosendal. Characterising subspaces of Banach spaces with a Schauder basis having the shift property. Studia Mathematica, Tome 204 (2011) pp. 59-73. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm207-1-4/