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On the Banach-Steinhaus Theorem for Topological Groups

✍ Scribed by Semyon N. Litvinov

Book ID: 120076192
Publisher: Mathematical Association of America
Year: 2011
Tongue: English
Weight: 193 KB
Volume: 118
Category: Article
ISSN: 0002-9890
DOI: 10.4169/amer.math.monthly.118.09.836

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## Abstract We prove the Banach‐Steinhaus theorem for distributions on the space 𝒟(ℝ) within Bishop's constructive mathematics. To this end, we investigate the constructive sequential completion $ \tilde {\cal D} $(ℝ) of 𝒟(ℝ).