Author: "Minxian Zhang" / Topic: mathematics - Searchworks@Jio Institute Digital Library Search Results

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Author: Jie Chi, Changli Yan, Minxian Zhang, and Binshan Ju
Subjects: probabilistic normed space, locally convex probabilistic seminormed space, local base, Mathematics, QA1-939
Abstract: Abstract In this paper, we give the notion of locally convex probabilistic seminormed spaces and discuss some property of locally convex probabilistic seminormed spaces.
Published: 2016
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Author: Bernardo Lafuerza-Guillén, Gaoxun Zhang, Carlo Sempi, Minxian Zhang, B., Lafuerza Guillen, Sempi, Carlo, G., Zhang, and M., Zhang
Subjects: Discrete mathematics, Metric space, TheoryofComputation_COMPUTATIONBYABSTRACTDEVICES, Probabilistic Normed Spaces, Applied Mathematics, Probabilistic logic, Countable set, T-norm, Triangular function, Analysis, Mathematics
Abstract: Countable products of probabilistic normed spaces are introduced and studied. In particular, a comparison is made with the analogous constructions for probabilistic metric spaces.
Published: 2009

Author: Minxian Zhang and Gaoxun Zhang
Subjects: Algebra, Applied Mathematics, Probabilistic logic, Topologically bounded, Space (mathematics), Locally convex, Normability, Analysis, Mathematics
Abstract: Probabilistic Normed spaces have been redefined by C. Alsina, B. Schweizer and A. Sklar. But even today, whether the generalized Šerstnev PN space is normable or not is still an open question. In this paper, through applying Kolmogorov's theorem, we will give several sufficient conditions, under which many generalized Šerstnev PN spaces are normable. As the application of our results, we will give two examples which are normable generalized Šerstnev PN space, but not Šerstnev space.
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