【摘要】 从扩张a-范数的定义出发,给出在扩张a-范数的定义下的有界算子以及其范数的相应定义,研究了它们的性质；解决了在赋扩张a-范数的可分Riesz空间上的正连续线性算子保持序关系的延拓问题。更多还原

【Abstract】 Beginning with the definition of extended a-norm,this article gives the corresponding definitions of the extended a-normed bounded operator and the operator norm in sense of extended a-norm,sequentially stud- ies their properties.Finally,the problem about the extension of positive linear operators preserving order on the extended a-normed separable Riesz space is solved.更多还原