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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front. Math. China    2016, Vol. 11 Issue (3) : 753-762    https://doi.org/10.1007/s11464-016-0541-z
RESEARCH ARTICLE
Complex interpolation and Calderón product of quasi-Banach spaces
Wen YUAN()
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China
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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     
Corresponding Author(s): Wen YUAN   
Issue Date: 17 May 2016
 Cite this article:   
Wen YUAN. Complex interpolation and Calderón product of quasi-Banach spaces[J]. Front. Math. China, 2016, 11(3): 753-762.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-016-0541-z
https://academic.hep.com.cn/fmc/EN/Y2016/V11/I3/753
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