Some applications of the open mapping theorem in locally convex cones
UDC 515.12 We show that a continuous open linear operator preserves the completeness and barreledness in locally convex cones.  Specially, we prove some relations between an open linear operator and its adjoint in  $uc$-cones (locally convex cones which their c...
Gespeichert in:
| Datum: | 2021 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2021
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/222 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 515.12
We show that a continuous open linear operator preserves the completeness and barreledness in locally convex cones.  Specially, we prove some relations between an open linear operator and its adjoint in  $uc$-cones (locally convex cones which their convex quasi-uniform structures are generated by one element).
  |
|---|---|
| DOI: | 10.37863/umzh.v73i3.222 |