Complex interpolation and Calderón product of quasi-Banach spaces

Abstract

We prove that the inner complex interpolation of two quasi-Banach lattices coincides with the closure of their intersection in their Calderón product. This generalizes a classical result by V. A. Shestakov in 1974 for Banach lattices.

Keywords

Complex interpolation / Calderón product / quasi-Banach lattice

References

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg