关于Kadison算子型不等式的推广及其经济应用

Some Extensions and Economic Applications of the Kadison Type Inequality

设A是Hilbert空间H上的严格正算子,Φ是保持单位元的正线性映射.利用已知的算子不等式对Kadison算子型不等式进行非对称形式的推广,得到更加广泛的一些算子不等式,同时给出其中两种特殊不等式的经济学解释,并指出在一定条件下,企业成本与利润、产出与利润之间存在对偶关系.

Let A be a strictly positive operator on a Hilbert space , and Φ be a unit positive linear map. We discussed some asymmetrical extended forms of Kadison type inequality via some related theorems and explained two of these special inequalities from the perspective of economics. The result shows that there is a dual relationship between cost and profit going with output and profit.