Geometrical properties of Banach spaces generated by sublinear operators

摘要

We solve a problem posed by Mastylo (Math Japon 36(1), 85-92, 1991) proving that every "non-trivial" subspace of a Banach space X generated by some positive sublinear operator and an L_p-space with 1 ≤ p < ∞ contains, for any ε > 0, an (1 + ε)-copy of l_p which is (1 + ε)-complemented in X.