Non-separable tree-like Banach spaces and Rosenthal's ℓ₁-theorem
Costas Poulios
Studia Mathematica, Tome 223 (2014), p. 1-12 / Harvested from The Polish Digital Mathematics Library
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We introduce and investigate a class of non-separable tree-like Banach spaces. As a consequence, we prove that we cannot achieve a satisfactory extension of Rosenthal's ℓ₁-theorem to spaces of the type ℓ₁(κ) for κ an uncountable cardinal.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285598 
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     year = {2014},
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     zbl = {1305.46011},
     language = {en},
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Costas Poulios. Non-separable tree-like Banach spaces and Rosenthal's ℓ₁-theorem. Studia Mathematica, Tome 223 (2014) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm221-1-1/