2 papers
math.FA2000
The uniqueness of the solution to inverse problems of interpolation of positive operators in Banach lattices
O. E. Tikhonov, L. V. Veselova
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 pos…
math.FA1999
The uniqueness of the solution to inverse interpolation problems
Lidia V. Veselova, Oleg E. Tikhonov
We prove that an arbitrary Banach couple is uniquely determined by the collection of intermediate spaces that are interpolation spaces for the operators of rank one. From this we d…