Probabilistic norm of operators and resonance theorems

Xiao Jianzhong; Zhu Xinghua

doi:10.1007/bf02454900

Probabilistic norm of operators and resonance theorems

Applied Mathematics and Mechanics ◽

10.1007/bf02454900 ◽

1999 ◽

Vol 20 (7) ◽

pp. 781-788 ◽

Cited By ~ 1

Author(s):

Xiao Jianzhong ◽

Zhu Xinghua

Keyword(s):

Probabilistic Norm

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Some remarks on functions with values in probabilistic normed spaces

Mathematica Slovaca ◽

10.2478/s12175-007-0021-8 ◽

2007 ◽

Vol 57 (3) ◽

Cited By ~ 7

Author(s):

Ioan Goleţ

Keyword(s):

Normed Space ◽

Topological Properties ◽

Normed Spaces ◽

Probabilistic Normed Space ◽

Random Functions ◽

New Class ◽

Probabilistic Normed Spaces ◽

Special Cases ◽

Probabilistic Norm

AbstractIn this paper we consider an enlargement of the notion of the probabilistic normed space. For this new class of probabilistic normed spaces we give some topological properties. By using properties of the probabilistic norm we prove some differential and integral properties of functions with values into probabilistic normed spaces. As special cases, results for deterministic and random functions can be obtained.

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