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arxiv: 1405.5735 · v1 · pith:P3DBQQEPnew · submitted 2014-05-22 · 🧮 math.CA

A note on complex interpolation and Calder\'on product of quasi-Banach spaces

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keywords caldercomplexinterpolationlatticesproductquasi-banachbanachclassical
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In this paper, we prove that the inner complex interpolation of two quasi-Banach lattices coincides with the closure of their intersection in their Calder\'on product. This generalizes a classical result by Shestakov in 1974 for Banach lattices.

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