An Open Mapping Theorem using Lower Semicontinuous Functions

• Main Author: RODRIGUES, Brian
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 1989
• Subjects: Metrizable topological vector space; locally convex space; lower semi continuous; sublevel set; open map; convex cone; Mathematics; Operations and Supply Chain Management
• Online Access: https://ink.library.smu.edu.sg/lkcsb_research/2211; https://doi.org/10.1080/02331938908843459
• Institution: Singapore Management University

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...