Generalisation of Michelson contrast for operators and its properties

TL;DR

This paper extends Michelson contrast to positive operators in countably decomposable W*-algebras and explores its mathematical properties.

Contribution

It introduces a generalized Michelson contrast for operators in a specific algebraic setting and analyzes its key properties.

Findings

Established a generalized Michelson contrast for positive operators.

Derived several fundamental properties of this generalized contrast.

Provided insights into its mathematical structure and potential applications.

Abstract

In this article we consider generalisation of Michelson contrast for positive operators of countably decomposable $W^*$-algebras and find a few several of its properties.