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