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Your search keyword '"Minxian Zhang"' showing total 3 results
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3 results on '"Minxian Zhang"'

1. On locally convex probabilistic normed spaces

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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2. On the normability of generalized Šerstnev PN spaces

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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3. On locally convex probabilistic normed spaces

Author

Jie Chi, Minxian Zhang, Binshan Ju, and Changli Yan

Subjects
Convex analysis, Discrete mathematics, Mathematics::Functional Analysis, Property (philosophy), Mathematics::Commutative Algebra, Mathematics::Operator Algebras, locally convex probabilistic seminormed space, lcsh:Mathematics, Applied Mathematics, Probabilistic logic, Regular polygon, Uniformly convex space, Subderivative, lcsh:QA1-939, Strictly convex space, Locally convex topological vector space, Mathematics::Metric Geometry, Discrete Mathematics and Combinatorics, Mathematics::Representation Theory, Analysis, Mathematics, probabilistic normed space, local base
Abstract

In this paper, we give the notion of locally convex probabilistic seminormed spaces and discuss some property of locally convex probabilistic seminormed spaces.

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