On Probabilistic 2-normed Spaces
نویسنده
چکیده
In [16] K. Menger proposed the probabilistic concept of distance by replacing the number d(p, q), as the distance between points p, q, by a distribution function Fp,q. This idea led to development of probabilistic analysis [3], [11] [18]. In this paper, generalized probabilistic 2-normed spaces are studied and topological properties of these spaces are given. As an example, a space of random variables is considered, connections with the generalized deterministic 2-normed spaces studied in [14] being also given. AMS Mathematics Subject Classification (2000): 60H10, 46H25
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