A note on complex interpolation and Calderón product of quasi-Banach spaces

2014/05/22 by Yuan, Wen
#46B70 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1405.5735

Abstract

In this paper, 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 Shestakov in 1974 for Banach lattices.

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