完备随机赋范模上的连续模同态半群

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完备随机赋范模上的连续模同态半群张霞, 刘明天津工业大学数学科学学院天津 300387 On Semigroups of Continuous Module Homomorphisms on Complete Random Normed Modules Xia ZHANG, Ming LIUSchool of Mathematical Sciences, Tiangong University, Tianjin 300387, P. R. China

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摘要本文首先利用完备随机赋范模的层次结构研究了一致连续模同态半群与其无穷小生成元之间的关系，并进一步给出几乎处处有界半群的指数刻画.在此基础上，建立几乎处处有界半群的微分和积分公式，推广了经典的结论.同时，用反例说明要求上述半群几乎处处有界的条件是必要的.

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收稿日期: 2020-06-12

MR (2010):

O177.2

基金资助:国家自然科学基金资助项目（11301380）；教育部人文社科基金资助项目（20YJC790174）；天津市自然科学基金资助项目（18JCYBJC18900）

通讯作者:刘明,E-mail:liuming@tiangong.edu.cnE-mail: liuming@tiangong.edu.cn

作者简介: 张霞,E-mail:zhangxia@tiangong.edu.cn

引用本文:

张霞, 刘明. 完备随机赋范模上的连续模同态半群[J]. 数学学报, 2021, 64(5): 773-786. Xia ZHANG, Ming LIU. On Semigroups of Continuous Module Homomorphisms on Complete Random Normed Modules. Acta Mathematica Sinica, Chinese Series, 2021, 64(5): 773-786.

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