English

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

Classical Analysis and ODEs 2014-05-23 v1

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 Calder\'on product. This generalizes a classical result by Shestakov in 1974 for Banach lattices.

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Cite

@article{arxiv.1405.5735,
  title  = {A note on complex interpolation and Calder\'on product of quasi-Banach spaces},
  author = {Wen Yuan},
  journal= {arXiv preprint arXiv:1405.5735},
  year   = {2014}
}

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8 pages