Partial measures
We study sigma-additive set functions defined on a hereditary subclass of a sigma-algebra and taken values in the extended real line. Analogs of the Jordan decomposition theorem and the Radon-Nikodym theorem are obtained.
math.FA↗
arXiv subjects
O. E. Tikhonov
Publications and source records attributed to O. E. Tikhonov.
The uniqueness of the solution to inverse problems of interpolation of positive operators in Banach lattices
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.
math.FA↗