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Ghaemi, M. B., Guillen, L., Saiedinezhad, S.. (1388). Some properties of continuous linear operators in topological vector PN-spaces. هنرهای کاربردی, 1(1), 58-64. doi: 10.22075/ijnaa.2010.69
M. B. Ghaemi; L. Guillen; S. Saiedinezhad. "Some properties of continuous linear operators in topological vector PN-spaces". هنرهای کاربردی, 1, 1, 1388, 58-64. doi: 10.22075/ijnaa.2010.69
Ghaemi, M. B., Guillen, L., Saiedinezhad, S.. (1388). 'Some properties of continuous linear operators in topological vector PN-spaces', هنرهای کاربردی, 1(1), pp. 58-64. doi: 10.22075/ijnaa.2010.69
Ghaemi, M. B., Guillen, L., Saiedinezhad, S.. Some properties of continuous linear operators in topological vector PN-spaces. هنرهای کاربردی, 1388; 1(1): 58-64. doi: 10.22075/ijnaa.2010.69

Some properties of continuous linear operators in topological vector PN-spaces

International Journal of Nonlinear Analysis and Applications
مقاله 7، دوره 1، شماره 1، فروردین 2010، صفحه 58-64    اصل مقاله (192.84 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2010.69
نویسندگان
M. B. Ghaemi* 1؛ L. Guillen2؛ S. Saiedinezhad3
1Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
2Departamento de Estadistica Ymatem'atica Aplicada, Universidad de Almeria, e-04120, Spain
3Department of Mathematics Iran University of Science and Technology, Narmak, Tehran, Iran.
تاریخ دریافت: 21 اسفند 1387،  تاریخ بازنگری: 22 مهر 1388،  تاریخ پذیرش: 01 آبان 1388 
چکیده
The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance.  Probabilistic Metric space was introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are topological vector spaces and the open mapping and closed graph   Theorems in this spaces are proved.
کلیدواژه‌ها
continuous linear map؛ homomorphism؛ Triangular function؛ topological vector space
مراجع
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  3. M. B. Ghaemi, B. Lafuerza-Guill´en, Probabilistic Total Paranormed Spaces, International Journal of Mathematics and Statistics, Autumn 2010, Volume 6, Number A10, 69-78.
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