On L0-convex compactness in random locally convex modules
نویسندگان
چکیده
For the study of some typical problems in finance and economics, Žitković introduced convex compactness gave many remarkable applications. Recently, motivated by random optimization variational inequalities, Guo, et al. L0-convex compactness, developed related theory normed modules further applied it to backward stochastic equations. In this paper, we extensively L0-convexly compact sets locally so that a series fundamental results are obtained. First, show every set is complete (hence also closed has countable concatenation property). Then, prove any linearly homeomorphic weakly subset space, simultaneously establish equivalence between for set. Finally, Tychonoff type, James type Banach-Alaoglu theorems respectively.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126404