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arxiv: math/0512323 · v1 · submitted 2005-12-14 · 🧮 math.FA · math.GN

pmb{D}-boundedness and pmb{D}-compactness in finite dimensional probabilistic normed spaces

classification 🧮 math.FA math.GN
keywords probabilisticnormedboundednesscompactnessdimensionalfinitespacesequivalent
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In this paper, 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.

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