论文标题
l $^p $运算符值功能的空间
L$^p$ spaces of operator-valued functions
论文作者
论文摘要
我们在量子随机变量的背景下定义了p-norm，即相对于正算子值测量的可测量运算符值的函数。该规范导致了一个显示已完成的操作员值的L^P空间。其他各种规范候选人也被认为是霍尔德对这种新背景的不平等现象的概括。
We define a p-norm in the context of quantum random variables, measurable operator-valued functions with respect to a positive operator-valued measure. This norm leads to a operator-valued L^p space that is shown to be complete. Various other norm candidates are considered as well as generalizations of Hölder's inequality to this new context.
