New results for operator Michelson contrast

Andrej Novikov

Keywords: positive operator, invertible operator, tracial functional, C*-algebra, W*-algebra, von Neumann algebra, Michelson contrast, Jensen–Shannon divergence

Abstract:

We consider the generalization of the Michelson contrast for positive operators
of countably decomposable W ∗-algebras and prove its properties. In addition,
we study how the inequalities characterizing traces interplay with the Michelson
contrasts of operator variables.

Also, we developed a torch code for simulation modeling code to Monte-Carlo
type I von Neumann algebras.

Submission Number: 24