An Open Mapping Theorem using Lower Semicontinuous Functions
We give a simple and direct proof, using lower semicontinuous functions, of a generalization of the open mapping theorem for metrizable topological vector spaces (that are not necessarily locally convex) and operators with complete graph. Our result is in a form more applicable to applied (convex) a...
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1989
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| Online Access: | https://ink.library.smu.edu.sg/lkcsb_research/2211 https://doi.org/10.1080/02331938908843459 |
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sg-smu-ink.lkcsb_research-32102016-03-12T01:33:05Z An Open Mapping Theorem using Lower Semicontinuous Functions RODRIGUES, Brian We give a simple and direct proof, using lower semicontinuous functions, of a generalization of the open mapping theorem for metrizable topological vector spaces (that are not necessarily locally convex) and operators with complete graph. Our result is in a form more applicable to applied (convex) analysis. 1989-01-01T08:00:00Z text https://ink.library.smu.edu.sg/lkcsb_research/2211 info:doi/10.1080/02331938908843459 https://doi.org/10.1080/02331938908843459 Research Collection Lee Kong Chian School Of Business eng Institutional Knowledge at Singapore Management University Metrizable topological vector space locally convex space lower semi continuous sublevel set open map convex cone Mathematics Operations and Supply Chain Management |
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SMU Libraries |
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Asia |
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Singapore Singapore |
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Metrizable topological vector space locally convex space lower semi continuous sublevel set open map convex cone Mathematics Operations and Supply Chain Management |
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Metrizable topological vector space locally convex space lower semi continuous sublevel set open map convex cone Mathematics Operations and Supply Chain Management RODRIGUES, Brian An Open Mapping Theorem using Lower Semicontinuous Functions |
| description |
We give a simple and direct proof, using lower semicontinuous functions, of a generalization of the open mapping theorem for metrizable topological vector spaces (that are not necessarily locally convex) and operators with complete graph. Our result is in a form more applicable to applied (convex) analysis. |
| format |
text |
| author |
RODRIGUES, Brian |
| author_facet |
RODRIGUES, Brian |
| author_sort |
RODRIGUES, Brian |
| title |
An Open Mapping Theorem using Lower Semicontinuous Functions |
| title_short |
An Open Mapping Theorem using Lower Semicontinuous Functions |
| title_full |
An Open Mapping Theorem using Lower Semicontinuous Functions |
| title_fullStr |
An Open Mapping Theorem using Lower Semicontinuous Functions |
| title_full_unstemmed |
An Open Mapping Theorem using Lower Semicontinuous Functions |
| title_sort |
open mapping theorem using lower semicontinuous functions |
| publisher |
Institutional Knowledge at Singapore Management University |
| publishDate |
1989 |
| url |
https://ink.library.smu.edu.sg/lkcsb_research/2211 https://doi.org/10.1080/02331938908843459 |
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1770570176980320256 |