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\(D\)-boundedness and \(D\)-compactness in finite-dimensional probabilistic normed spaces. (English) Zbl 1096.46048

Summary: We prove that in a finite-dimensional probabilistic normed space, every two probabilistic norms are equivalent and we study the notion of \(D\)-compactness and \(D\)-boundedness in probabilistic normed spaces.

MSC:

46S50 Functional analysis in probabilistic metric linear spaces
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References:

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