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.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2016-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/2508172 |
| id |
doaj-185030567a304129800456ee84e3ba2f |
|---|---|
| record_format |
Article |
| spelling |
doaj-185030567a304129800456ee84e3ba2f2020-11-24T20:41:23ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Robert Kantrowitz Michael M. Neumann |
| spellingShingle |
Robert Kantrowitz Michael M. Neumann More of Dedekind: His Series Test in Normed Spaces International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Robert Kantrowitz Michael M. Neumann |
| author_sort |
Robert Kantrowitz |
| title |
More of Dedekind: His Series Test in Normed Spaces |
| title_short |
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_sort |
more of dedekind: his series test in normed spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2016-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2016/2508172 |
| work_keys_str_mv |
AT robertkantrowitz moreofdedekindhisseriestestinnormedspaces AT michaelmneumann moreofdedekindhisseriestestinnormedspaces |
| _version_ |
1716825410496364544 |