Quotient probabilistic normed spaces and completeness results
Quotient spaces of probabilistic normed spaces have never been considered. This note is a first attempt to fill this gap: the quotient space of a PN space with respect to one of its subspaces is introduced and its properties are studied. Finally, we investigate the completeness relationship among th...
| Hauptverfasser: | , , |
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| Format: | info:eu-repo/semantics/article |
| Sprache: | English |
| Veröffentlicht: |
Proc. Indian Acad. Sci.(Math. Sci.)
2014
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| Schlagworte: | |
| Online Zugang: | http://hdl.handle.net/10835/2760 |
| Zusammenfassung: | Quotient spaces of probabilistic normed spaces have never been considered. This note is a first attempt to fill this gap: the quotient space of a PN space with respect to one of its subspaces is introduced and its properties are studied. Finally, we investigate the completeness relationship among the PN spaces considered. |
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