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math.OA2015★ 11 cited
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.
math.OA2011
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.