论文标题
绝对矩阵的绝对矩阵订单理想
Absolute matrix order ideals in absolute matrix order unit spaces
论文作者
论文摘要
在本文中,我们在绝对基质顺序单位空间中定义和研究绝对矩阵秩序的理想。作为绝对矩阵单位属性的应用,我们在绝对矩阵订单单位空间中构造了某些绝对矩阵订单理想。后来,我们表明,这种绝对矩阵订单的Grothendieck组是订单投影的理想选择,是Grothendieck组的一个子组,包括相应的绝对矩阵订单单位空间用于订单预测。
In this paper, we define and study absolute matrix order ideals in absolute matrix order unit spaces. As an application of absolute matrix order unit property, we construct some kinds of absolute matrix order ideals in absolute matrix order unit spaces. Later, we show that the Grothendieck group of a such kind of absolute matrix order ideal for order projections is a subgroup of Grothendieck group of corresponding absolute matrix order unit space for order projections.