Interpolation of vector-valued Banach lattices and Calderón-Lozanovskii construction

Document identifier: oai:dalea.du.se:1928
Access full text here:10.1002/1522-2616(200107)227:1<63::AID-MANA63>3.0.CO;2-V
Keyword: Natural Sciences, Mathematics, Naturvetenskap, Matematik, Komplexa system - mikrodataanalys
Publication year: 2001
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Abstract:

We establish the connection between the variants of Schechter's complex interpolation methods, Peetre-Gustavsson's interpolation methods, and the Calderon-Lozanovskii construction on vector-valued Banach lattices. As applications, we show that the uniform convexity and the UMD property are stable byinterpolation.

Authors

Ming Fan

Högskolan Dalarna; Matematik/tillämpad matematik
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