Some properties of sequential quotient

A positive operator A with 0 ≤ A ≤ I is called quantum effect. For quantum effects A and B the sequential product is defined by A ◦ B = A (1/2)BA (1/2) and concerned with this product the sequential quotient is defined in the reasonable way. In this paper we have tried to state some properties of the sequential quotient, corresponding to the similar properties for quotient numbers.