11 citations · 19 across the 5 of their papers we have counts for
5 papers
Characterization of central elements of operator algebras by inequalities
Andrej Novikov, Oleg Tikhonov
We propose a list of inequalities which characterize central elements in von Neumann algebras and C*-algebras.
On characterization of integrable sesquilinear forms
Anatolij N. Sherstnev, Oleg E. Tikhonov
We give necessary and sufficient condition for a sesquilinear form to be integrable with respect to a faithful normal state on a von Neumann algebra.
Partial measures
O. E. Tikhonov
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 an…
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…
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…