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On a characterization of barrelled spaces
Proceedings of the American Mathematical Society
We prove that a I.e. space E is barrelled if every closed graph linear map: E -* C(X) is continuous; X compact T2. This generalizes Mahowald's criterion, but the main contribution is the simplicity of the proof.doi:10.1090/s0002-9939-1976-0412761-2 fatcat:rrxwqgfckvdjvpkmowqou4naji