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An open mapping theorem without continuity and linearity
Authors:Ronglu Li  C Swartz
Institution:a Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China
b Department of Mathematics, Tianjin University, Tianjin, 300072, China
c Department of Mathematics, New Mexico State University, Las Cruces, NM 88003, USA
Abstract:We establish an open mapping theorem which is independent of continuity and linearity of concerned mappings. This is a substantial improvement of the classical version and its generalizations.
Keywords:Open mapping  Almost open mapping  Paranorm
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