Calderón-Lozanovskii interpolation on quasi-Banach lattices

Abstract

We consider the Calderón-Lozanovskii construction $\phi (X_0,X_1)$ in the context of quasi-Banach lattices and provide an extension of a result by V. I. Ovchinnikov concerning the associated interpolation methods ${\phi }^c$ and ${\phi }^0$. Our approach is based on the interpolation properties of $(\infty ,1)$-regular operators between quasi-Banach lattices.

19 pages; Lemma 5.4 has been modified and Theorem 5.5 has been added; to appear in Banach J. Math. Anal

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