The uniqueness of the solution to inverse problems of interpolation of positive operators in Banach lattices

2000/03/16 by O. E. Tikhonov, Tikhonov, O. E., L. V. Veselova +1
Mathematics · #46B42 #46B70 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B42 #msc:46B70

paper · pdf · doi:10.48550/arxiv.math/0003095

3 pages

arxiv created 2000/03/16 · arxiv updated 2009/11/30

Abstract

We prove that an interpolation pair of Banach lattices is uniquely determined by the collection of intermediate spaces with the property that these are interpolation spaces for positive operators. A correspondent result for exact interpolation is also presented.

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