Abstract
A locally convex space E is said to be an s-space [1] if every closed linear map of E onto a barrelled space is open. The aim of this paper is to replace the B-complete spaces in the closed graph theorem of A. P. and W. ROBERTSON [7] by s-spaces. Previous work of PTAK [5] and PERSSON [4] implies that B-complete spaces and t-polar spaces are s-spaces. Thus our result includes that of ADASCH [2] who generalized Robertson's theorem, taking t-polar spaces instead of B-complete ones.
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Literatur
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Eberhardt, V. Der Graphensatz von A. P. und W. Robertson für s-Rädme. Manuscripta Math 4, 255–262 (1971). https://doi.org/10.1007/BF01190279
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DOI: https://doi.org/10.1007/BF01190279