Geometrical properties of Banach spaces generated by sublinear operators

Geometrical properties of Banach spaces generated by sublinear operators 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 $${\varepsilon > 0}$$ , an $${(1 + \varepsilon)}$$ -copy of l p which is $${(1 + \varepsilon)}$$ -complemented in X. Positivity Springer Journals

Geometrical properties of Banach spaces generated by sublinear operators

Positivity , Volume 17 (2) – Feb 12, 2012

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SP Birkhäuser Verlag Basel
Copyright © 2012 by Springer Basel AG
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
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