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Some Applications of the Open Mapping Theorem in Locally Convex Cones
- Source :
- Ukrainian Mathematical Journal. 73:498-505
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- 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).
- Subjects :
- 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
Subjects
Details
- ISSN :
- 15739376 and 00415995
- Volume :
- 73
- Database :
- OpenAIRE
- Journal :
- Ukrainian Mathematical Journal
- Accession number :
- edsair.doi.dedup.....1370ea1a8b818215637f7df528939171