Frontiers of Mathematics in China >
Complex interpolation and Calderón product of quasi-Banach spaces
Received date: 13 Nov 2014
Accepted date: 11 Apr 2016
Published date: 17 May 2016
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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
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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