An open mapping theorem without continuity and linearity

DOI10.1016/j.topol.2010.05.004zbMath1207.46005OpenAlexW2063341147MaRDI QIDQ989089

Ronglu Li, Shu-hui Zhong, Charles W. Swartz

Publication date: 27 August 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2010.05.004

zbMATH Keywords

open mapping theoremalmost open linear mappingsmetrizable complete linear topological space

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (1)

On certain uniformly open multilinear mappings

Cites Work

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• An induction theorem and general open mapping theorems
• An open mapping theorem for basis separating maps.
• Completeness and the open mapping theorem
• An open mapping theorem using lower semicontinuous functions
• On Riemann integration of functions with values in topological linear spaces
• Generalized Open Mapping Theorems for Bilinear Maps, with an Application to Operator Algebras

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