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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主要作者: RODRIGUES, Brian
格式: text
語言:English
出版: Institutional Knowledge at Singapore Management University 1989
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在線閱讀:https://ink.library.smu.edu.sg/lkcsb_research/2211
https://doi.org/10.1080/02331938908843459
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機構: Singapore Management University
語言: English
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spelling 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
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Metrizable topological vector space
locally convex space
lower semi continuous
sublevel set
open map
convex cone
Mathematics
Operations and Supply Chain Management
spellingShingle 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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