Some Applications of the Open Mapping Theorem in Locally Convex Cones
| Autor: | Somayyeh Jafarizad, Asghar Ranjbari |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Linear map
Pure mathematics General Mathematics Completeness (order theory) 010102 general mathematics Regular polygon 010103 numerical & computational mathematics 0101 mathematics Element (category theory) Algebra over a field Open mapping theorem (functional analysis) 01 natural sciences Mathematics |
| Zdroj: | Ukrainian Mathematical Journal. 73:498-505 |
| ISSN: | 1573-9376 0041-5995 |
| DOI: | 10.1007/s11253-021-01938-7 |
| Popis: | 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). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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