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An open mapping theorem for basis separating maps.

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Publication:1426503
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DOI10.1016/S0166-8641(03)00197-4zbMath1040.46005MaRDI QIDQ1426503

Edward Beckenstein, Lawrence Narici

Publication date: 14 March 2004

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


zbMATH Keywords

open mapping theorem


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)


Related Items (2)

Continuity of injective basis separating maps ⋮ An open mapping theorem without continuity and linearity



Cites Work

  • On the isometries of certain function-spaces
  • Automatic continuity of linear maps on spaces of continuous functions
  • Biseparating maps and homeomorphic real-compactifications
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