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...

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Main Authors: Ghaemi, M.B., Lafuerza Guillén, Bernardo
Format: info:eu-repo/semantics/article
Language:English
Published: International journal of mathematics and statistics 2014
Subjects:
Online Access:http://hdl.handle.net/10835/2752
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author Ghaemi, M.B.
Lafuerza Guillén, Bernardo
author_facet Ghaemi, M.B.
Lafuerza Guillén, Bernardo
author_sort Ghaemi, M.B.
collection DSpace
description 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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spelling oai:repositorio.ual.es:10835-27522023-04-12T19:39:13Z Probabilistic total paranorms, F-norms and PN spaces Ghaemi, M.B. Lafuerza Guillén, Bernardo Mathematics Probabilistic Normed 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 are also PTPN spaces.Finally we show the relationship between F-spaces and PTPN spaces. 2014-06-17T08:34:14Z 2014-06-17T08:34:14Z 2010 info:eu-repo/semantics/article Volume 6, Number A10; pp. 69-78 0974-7117(print); 0973-8347(online) http://hdl.handle.net/10835/2752 en www.ceserp.com/cp-jour/ info:eu-repo/semantics/openAccess International journal of mathematics and statistics CESER Publication; www.ceser.res.in/ijms.html
spellingShingle Mathematics
Probabilistic Normed Spaces
Ghaemi, M.B.
Lafuerza Guillén, Bernardo
Probabilistic total paranorms, F-norms and PN spaces
title Probabilistic total paranorms, F-norms and PN spaces
title_full Probabilistic total paranorms, F-norms and PN spaces
title_fullStr Probabilistic total paranorms, F-norms and PN spaces
title_full_unstemmed Probabilistic total paranorms, F-norms and PN spaces
title_short Probabilistic total paranorms, F-norms and PN spaces
title_sort probabilistic total paranorms, f-norms and pn spaces
topic Mathematics
Probabilistic Normed Spaces
url http://hdl.handle.net/10835/2752
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