Farthest point problem and M-compact sets
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2016
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913447506083840 |
|---|---|
| author | Sain, D. Paul, K. Ray, A. |
| author_facet | Sain, D. Paul, K. Ray, A. |
| contents | In this paper we give an elementary proof of the fact that every uniquely remotal set is singleton in a finite dimensional strictly convex normed linear space. We show that if A is a uniquely remotal M-compact subset with the derived set of A non-empty then the derived set of A is M-compact and uniquely remotal. We also show that if A is a uniquely remotal M-compact set and the derived set of A is compact then A is singleton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1605_04100 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Farthest point problem and M-compact sets Sain, D. Paul, K. Ray, A. Functional Analysis 46B20 (Primary), 46B99 (Secondary) In this paper we give an elementary proof of the fact that every uniquely remotal set is singleton in a finite dimensional strictly convex normed linear space. We show that if A is a uniquely remotal M-compact subset with the derived set of A non-empty then the derived set of A is M-compact and uniquely remotal. We also show that if A is a uniquely remotal M-compact set and the derived set of A is compact then A is singleton. |
| title | Farthest point problem and M-compact sets |
| topic | Functional Analysis 46B20 (Primary), 46B99 (Secondary) |
| url | https://arxiv.org/abs/1605.04100 |