دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها691
تعداد مقالات10,035
تعداد مشاهده مقاله71,039,502
تعداد دریافت فایل اصل مقاله62,489,021
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
  1. C. Alsina, B. Schweizer and A. Sklar, On the definition of a probabilistic normed space, Aequationes Math., 46 (1993) 91-98.
  2. C. Alsina, B. Schweizer and A. Sklar, Continuity properties of probabilistic norms, J. Math. Anal. Appl., 208 (1997) 446-452.
  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.
  4. U. Hohle, Probabilistic metrization of generalized topologies, Bull. Acad. Polon. Sci. Srie des sciences math., astr. et phys. 25, 493-498, (1977).
  5. B. Lafuerza–Guill´en, D–bounded sets in probabilistic normed spaces and their products, Rend. Mat., Serie VII 21 (2001) 17-28.
  6. B. Lafuerza–Guill´en, J.L. Rodr´iguez, Translation–invariant generalized topologies induced by probabilistic norms, Note di Matematica, in press.
  7. B. Lafuerza-Guill´en, J.A. Rodr´ıguez Lallena, probabilistic norms for linear operator,J. Math. Anal. Appl., 220 (1998) 462-476.
  8. B. Lafuerza–Guill´en, J. A. Rodr´iguez Lallena and C. Sempi, A study of boundedness in probabilistic normed spaces, J. Math. Anal. Appl., 232 (1999) 183-196.
  9. B. Lafuerza–Guill´en, J.A. Rodr´ıguez Lallena and C. Sempi, Some classes of Probabilistic Normed Spaces. Rend. Mat., 17 (1997), 237-252.
  10. H. H. Schaefer and M.P. Wolff, Topological vector spaes, Second Edition, Springer (1991).
  11. B. Schweizer, Multiplication on the space of probability distribution functions, Aequationes Math. 12 (1975), 156–183.
  12. B. Schweizer and A. Sklar, B. Schweizer and A. Sklar, Probabilistic Metric Spaces, Elsevier, New York, 1983; 2nd ed., Dover, Mineola, NY, 2005.
  13. D. A. Seibley, A metric for weak convergence of distribution functions, Rocky Mountain J. Math. 1 (1971), 427–430.
  14. C. Sempi, A short and partial history of probabilistic normed spaces, Mediterr. J. Math. 3 (2006), 283-300.
  15. C. Sempi, On the space on distribution functions, Riv. Mat. Univ. Parma 8 (1982), 243-250.
  16. A. N. Serstnev, On the motion of a random normed space, ˇ Dokl. Akad. Nauk SSSR 149 (1963), 280-283 (English translation in Soviet Math. Dokl. 4 (1963), 388-390.
  17. E. O. Thorp, Generalized topologies for statistical metric spaces, Fund. Math. 51, 9–21 (1962).
  18. A. Wilansky, Functional Analysis, Blaisdell Publishing Company, New York, Toronto, London, 1964
آمار
تعداد مشاهده مقاله: 17,715
تعداد دریافت فایل اصل مقاله: 11,903


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب