A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications
A Characterization of Continuous Module Homomorphisms on Random Semi-Normed Modules and Its Applications
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DOI：
10.1007/s10114-002-0210-x
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
T. Guo;Linhu Zhu
中科院分区：
文献类型：
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作者：
T. Guo;Linhu Zhu
本文首先给出了随机半赋范模上连续模同态的一个刻画；然后利用该刻划进一步证明了对于随机半赋范模上的连续模同态，Hahn-Banach型扩展定理仍然成立。
In this paper, a characterization of continuous module homomorphisms on random semi-normed modules is first given; then the characterization is further used to show that the Hahn-Banach type of extension theorem is still true for continuous module homomorphisms on random semi-normed modules.