Abstract

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 0}\) , an \({(1 + \varepsilon)}\) -copy of l p which is \({(1 + \varepsilon)}\) -complemented in X.

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