THE RANDOM SUBREFLEXIVITY OF COMPLETE RANDOM NORMED MODULES
THE RANDOM SUBREFLEXIVITY OF COMPLETE RANDOM NORMED MODULES
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DOI：
10.1142/s0129167x12500474
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发表时间：
2012-04
影响因子：
0.6
通讯作者：
Shien Zhao;T. Guo
中科院分区：
文献类型：
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作者：
Shien Zhao;T. Guo
结合（e，λ）-拓扑和局部L0-凸拓扑各自的优点，我们首先证明了每个完备随机赋范模在（e，λ）-拓扑下都是随机次自反的.进一步证明了在局部L0-凸拓扑下，每个具有可数拼接性质的完备随机赋范模也是随机次自反的，同时给出了一个反例，证明了随机赋范模必须具有可数拼接性质.
Combining respective advantages of the (e, λ)-topology and the locally L0-convex topology we first prove that every complete random normed module is random subreflexive under the (e, λ)-topology. Further, we prove that every complete random normed module with the countable concatenation property is also random subreflexive under the locally L0-convex topology, at the same time we also provide a counterexample which shows that it is necessary to require the random normed module to have the countable concatenation property.