Strict topoligies in non-Archimedean function spaces
Let F be a non-trivial complete non-Archimedean valued field. Some locally F-convex topologies, on the space Cb(X,E) of all bounded continuous functions from a zero-dimensional topological space X to a non-Archimedean locally F-convex space E, are studied. The corresponding dual spaces are also inve...
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117128400003X |
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| _version_ | 1832563335236681728 |
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| author | A. K. Katsaras |
| author_facet | A. K. Katsaras |
| author_sort | A. K. Katsaras |
| collection | DOAJ |
| description | Let F be a non-trivial complete non-Archimedean valued field. Some locally F-convex topologies, on the space Cb(X,E) of all bounded continuous functions from a zero-dimensional topological space X to a non-Archimedean locally F-convex space E, are studied. The corresponding dual spaces are also investigated. |
| format | Article |
| id | doaj-art-052d3dac368c49008f7f82c8421400b7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-052d3dac368c49008f7f82c8421400b72025-02-03T01:20:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-0171233310.1155/S016117128400003XStrict topoligies in non-Archimedean function spacesA. K. Katsaras0Department of Mathematics, University of Ioannina, Ioannina, GreeceLet F be a non-trivial complete non-Archimedean valued field. Some locally F-convex topologies, on the space Cb(X,E) of all bounded continuous functions from a zero-dimensional topological space X to a non-Archimedean locally F-convex space E, are studied. The corresponding dual spaces are also investigated.http://dx.doi.org/10.1155/S016117128400003Xnon-Archimedean spacesspherically completezero-dimensionalBanaschewski compactificationstrict topologies. |
| spellingShingle | A. K. Katsaras Strict topoligies in non-Archimedean function spaces International Journal of Mathematics and Mathematical Sciences non-Archimedean spaces spherically complete zero-dimensional Banaschewski compactification strict topologies. |
| title | Strict topoligies in non-Archimedean function spaces |
| title_full | Strict topoligies in non-Archimedean function spaces |
| title_fullStr | Strict topoligies in non-Archimedean function spaces |
| title_full_unstemmed | Strict topoligies in non-Archimedean function spaces |
| title_short | Strict topoligies in non-Archimedean function spaces |
| title_sort | strict topoligies in non archimedean function spaces |
| topic | non-Archimedean spaces spherically complete zero-dimensional Banaschewski compactification strict topologies. |
| url | http://dx.doi.org/10.1155/S016117128400003X |
| work_keys_str_mv | AT akkatsaras stricttopoligiesinnonarchimedeanfunctionspaces |