概率赋准范空间中的算子讨论
发布时间：2018-10-16 14:50
【摘要】：运用概率度量的思想讨论PQN空间中的随机算子,给出PQN空间中概率拟线性算子和概率等度连续算子的概念,研究它们的特性.在一定条件下,证明了PQN空间中线性算子的收敛算子是概率拟线性算子;PQN空间中的概率等度连续算子是概率拟有界算子,反之,不成立.
[Abstract]:Stochastic operators in PQN spaces are discussed by using the idea of probabilistic metric. The concepts of probabilistic quasilinear operators and probabilistic equicontinuous operators in PQN spaces are given and their properties are studied. Under certain conditions, it is proved that the convergence operator of linear operator in PQN space is a probabilistic quasilinear operator, and the probabilistic equicontinuous operator in PQN space is a probabilistic quasi-bounded operator, otherwise, it is not true.
【作者单位】： 四川大学锦江学院数学学院;四川大学锦江学院基础教学部;阜阳师范学院物理与电子工程学院;
【基金】：安徽省自然科学基金(1308085MA13)
【分类号】：O177
本文编号：2274700
[Abstract]:Stochastic operators in PQN spaces are discussed by using the idea of probabilistic metric. The concepts of probabilistic quasilinear operators and probabilistic equicontinuous operators in PQN spaces are given and their properties are studied. Under certain conditions, it is proved that the convergence operator of linear operator in PQN space is a probabilistic quasilinear operator, and the probabilistic equicontinuous operator in PQN space is a probabilistic quasi-bounded operator, otherwise, it is not true.
【作者单位】： 四川大学锦江学院数学学院;四川大学锦江学院基础教学部;阜阳师范学院物理与电子工程学院;
【基金】：安徽省自然科学基金(1308085MA13)
【分类号】：O177
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