Structure of Rademacher subspaces in Cesàro type spaces
Sergey V. Astashkin ; Lech Maligranda
Studia Mathematica, Tome 231 (2015), p. 259-279 / Harvested from The Polish Digital Mathematics Library
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The structure of the closed linear span of the Rademacher functions in the Cesàro space Ces∞ is investigated. It is shown that every infinite-dimensional subspace of either is isomorphic to l₂ and uncomplemented in Ces∞, or contains a subspace isomorphic to c₀ and complemented in . The situation is rather different in the p-convexification of Ces∞ if 1 < p < ∞.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:285407 
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Sergey V. Astashkin; Lech Maligranda. Structure of Rademacher subspaces in Cesàro type spaces. Studia Mathematica, Tome 231 (2015) pp. 259-279. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm226-3-4/