Probabilistic total paranorms, F-norms and PN spaces
The concept of paranorm given by A. Wilansky in(Wilansky, 1964)suggests to us the construction of a more restrictive type of probabilistic spaces. One introduces the notion of Probabilistic Total Paranormed spaces (briefly PTPN spaces) and we characterize a class of probabilistic normed spaces which...
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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International journal of mathematics and statistics
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/2752 |
| Summary: | The concept of paranorm given by A. Wilansky in(Wilansky, 1964)suggests to us the construction of a more restrictive type of probabilistic spaces. One introduces the notion of Probabilistic Total Paranormed spaces (briefly PTPN spaces) and we characterize a class of probabilistic normed spaces which are also PTPN spaces.Finally we show the relationship between F-spaces and PTPN spaces. |
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