Abstract
Abstract
In this paper, an I-topology is constructed in a Menger probabilistic normed space (PNS) in a natural way. Some properties of the I-topology are studied. It is shown that a Menger PNS with the I-topology forms a both locally convex and locally bounded I-topological vector space of QL-type. In addition, the relation between the I-topology and that topologically generated by some classical topologies is investigated.
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