Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 3: 753 - 762

DOI: https://doi.org/10.1007/s11464-016-0541-z

RESEARCH ARTICLE

Complex interpolation and Calderón product of quasi-Banach spaces

  • Wen YUAN
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  • School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China

Received date: 13 Nov 2014

Accepted date: 11 Apr 2016

Published date: 17 May 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Complex interpolation; Calderón product; quasi-Banach lattice

Cite this article

Wen YUAN . Complex interpolation and Calderón product of quasi-Banach spaces[J]. Frontiers of Mathematics in China, 2016 , 11(3) : 753 -762 . DOI: 10.1007/s11464-016-0541-z

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