TY - JOUR ID - Ivanova2023 LB - Ivanova2023 AU - Ivanova, Gertruda AU - Wagner-Bojakowska, Elżbieta AU - Wilczyński, Władysław TI - Lower density operators. Φf versus Φd ST - Lower density operators. Φf versus Φd JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2023 VL - 43 IS - 2 SP - 185 EP - 197 DO - https://doi.org/10.7494/OpMath.2023.43.2.185 UR - https://doi.org/10.7494/OpMath.2023.43.2.185 AB - Using the new method of the construction of lower density operator introduced in the earlier paper of the first two authors, we study how much the new operator can be different from the classical one. The aim of this paper is to show that if \(f\) is a good adjusted measure-preserving bijection then the lower density operator generated by \(f\) can be really different from the classical density operator. KW - lower density operator KW - measure-preserving bijection SN - 1232-9274 ER -