Essentially Incomparable Banach Spaces of Continuous Functions
Rogério Augusto dos Santos Fajardo
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010), p. 247-258 / Harvested from The Polish Digital Mathematics Library
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We construct, under Axiom ♢, a family (C(Kξ))ξ<2(2ω) of indecomposable Banach spaces with few operators such that every operator from C(Kξ) into C(Kη) is weakly compact, for all ξ ≠ η. In particular, these spaces are pairwise essentially incomparable. Assuming no additional set-theoretic axiom, we obtain this result with size 2ω instead of 2(2ω).

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281158 
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Rogério Augusto dos Santos Fajardo. Essentially Incomparable Banach Spaces of Continuous Functions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 247-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-3-7/