The integral on quantum probability spaces is monotonic
We show that the integral on quantum probability spaces and on generalized measure spaces preserves the ordering of functions. This result answers the question posed by \textit{S. Gudder}, Found. Probab. Theor., stat. Inference, stat. Theor. Sci., Vol. III, Proc. int. Res. Colloq., London/Can. 1973, 121-141 (1976; Zbl 0329.60004).
scientific article; zbMATH DE number 3930106