论文标题
非线性单调正图
Non-linear monotone positive maps
论文作者
论文摘要
我们研究了C* - 代数之间的几类一般的非线性正图，这不是必需的完全正图。我们表征了 * - 多层图映射和正线性MAPSA的组成类别的类别，即抽象地构成正类型的非线性图。我们考虑仅在阳性锥上定义的三类非线性正图，即单调，超企业或凹形的类别。任何凹形地图都是单调的。单调图和超量图的相交表征了单调硼硼功能积分的类别。我们给出了许多非线性正图的例子，这些示例表明，这三个类别总体上没有其他关系。
We study several classes of general non-linear positive maps between C*-algebras, which are not necessary completely positive maps. We characterize the class of the compositions of *-multiplicative maps and positive linear mapsas the class of non-linear maps of boundedly positive type abstractly. We consider three classes of non-linear positive maps defined only on the positive cones, which are the classes of being monotone, supercongruent or concave. Any concave maps are monotone. The intersection of the monotone maps and the supercongruent maps characterizes the class of monotone Borel functional calculus. We give many examples of non-linear positive maps, which show that there exist no other relations among these three classes in general.
