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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Format: | info:eu-repo/semantics/article |
Language: | English |
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International journal of mathematics and statistics
2014
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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. |
format | info:eu-repo/semantics/article |
id | oai:repositorio.ual.es:10835-2752 |
institution | Universidad de Cuenca |
language | English |
publishDate | 2014 |
publisher | International journal of mathematics and statistics |
record_format | dspace |
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 |
work_keys_str_mv | AT ghaemimb probabilistictotalparanormsfnormsandpnspaces AT lafuerzaguillenbernardo probabilistictotalparanormsfnormsandpnspaces |