arXiv Analytics

Sign in

arXiv:math/0003095 [math.FA]AbstractReferencesReviewsResources

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

O. E. Tikhonov, L. V. Veselova

Published 2000-03-16Version 1

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.

Comments: 3 pages
Categories: math.FA
Subjects: 46B42, 46B70
Related articles: Most relevant | Search more
arXiv:math/0404526 [math.FA] (Published 2004-04-29)
Estimates of disjoint sequences in Banach lattices and R.I. function spaces
arXiv:2101.06677 [math.FA] (Published 2021-01-17)
Grothendieck-type subsets of Banach lattices
arXiv:1711.11558 [math.FA] (Published 2017-11-30)
Valuations on Banach lattices