More of Dedekind: His Series Test in Normed Spaces
Dedekind’s test for infinite series has a canonical interpretation in the context of normed spaces. It is shown that his test holds in a normed space precisely when the space is complete.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/2508172 |
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| _version_ | 1832549076665630720 |
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| author | Robert Kantrowitz Michael M. Neumann |
| author_facet | Robert Kantrowitz Michael M. Neumann |
| author_sort | Robert Kantrowitz |
| collection | DOAJ |
| description | Dedekind’s test for infinite series has a canonical interpretation in the context of normed spaces. It is shown that his test holds in a normed space precisely when the space is complete. |
| format | Article |
| id | doaj-art-185030567a304129800456ee84e3ba2f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-185030567a304129800456ee84e3ba2f2025-02-03T06:12:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/25081722508172More of Dedekind: His Series Test in Normed SpacesRobert Kantrowitz0Michael M. Neumann1Department of Mathematics, Hamilton College, 198 College Hill Road, Clinton, NY 13323, USADepartment of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USADedekind’s test for infinite series has a canonical interpretation in the context of normed spaces. It is shown that his test holds in a normed space precisely when the space is complete.http://dx.doi.org/10.1155/2016/2508172 |
| spellingShingle | Robert Kantrowitz Michael M. Neumann More of Dedekind: His Series Test in Normed Spaces International Journal of Mathematics and Mathematical Sciences |
| title | More of Dedekind: His Series Test in Normed Spaces |
| title_full | More of Dedekind: His Series Test in Normed Spaces |
| title_fullStr | More of Dedekind: His Series Test in Normed Spaces |
| title_full_unstemmed | More of Dedekind: His Series Test in Normed Spaces |
| title_short | More of Dedekind: His Series Test in Normed Spaces |
| title_sort | more of dedekind his series test in normed spaces |
| url | http://dx.doi.org/10.1155/2016/2508172 |
| work_keys_str_mv | AT robertkantrowitz moreofdedekindhisseriestestinnormedspaces AT michaelmneumann moreofdedekindhisseriestestinnormedspaces |