(Quasi)-uniformities on the set of bounded maps
From real analysis it is known that if a sequence {fn, n∈ℕ} of real-valued functions defined and bounded on X⊂ℝ converges uniformly to f, then f is also bounded and the sequence {fn, n∈ℕ}. In the present paper we generalize results as the above using (quasi)-uniform structures....
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294000980 |
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| _version_ | 1832553361271947264 |
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| author | Basil K. Papadopoulos |
| author_facet | Basil K. Papadopoulos |
| author_sort | Basil K. Papadopoulos |
| collection | DOAJ |
| description | From real analysis it is known that if a sequence {fn, n∈ℕ} of real-valued functions defined and bounded on X⊂ℝ converges uniformly to f, then f is also bounded and the sequence {fn, n∈ℕ}. In the present paper we generalize results as the above using (quasi)-uniform structures. |
| format | Article |
| id | doaj-art-d24f950c4c24444d9fab9fd65396a639 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d24f950c4c24444d9fab9fd65396a6392025-02-03T05:54:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117469369610.1155/S0161171294000980(Quasi)-uniformities on the set of bounded mapsBasil K. Papadopoulos0Democritus University of Thrace, Department of Mathematics, Xanthi 67100, GreeceFrom real analysis it is known that if a sequence {fn, n∈ℕ} of real-valued functions defined and bounded on X⊂ℝ converges uniformly to f, then f is also bounded and the sequence {fn, n∈ℕ}. In the present paper we generalize results as the above using (quasi)-uniform structures.http://dx.doi.org/10.1155/S0161171294000980function spacesuniformity of uniform convergenceset of bounded functions. |
| spellingShingle | Basil K. Papadopoulos (Quasi)-uniformities on the set of bounded maps International Journal of Mathematics and Mathematical Sciences function spaces uniformity of uniform convergence set of bounded functions. |
| title | (Quasi)-uniformities on the set of bounded maps |
| title_full | (Quasi)-uniformities on the set of bounded maps |
| title_fullStr | (Quasi)-uniformities on the set of bounded maps |
| title_full_unstemmed | (Quasi)-uniformities on the set of bounded maps |
| title_short | (Quasi)-uniformities on the set of bounded maps |
| title_sort | quasi uniformities on the set of bounded maps |
| topic | function spaces uniformity of uniform convergence set of bounded functions. |
| url | http://dx.doi.org/10.1155/S0161171294000980 |
| work_keys_str_mv | AT basilkpapadopoulos quasiuniformitiesonthesetofboundedmaps |