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Jul 30, 2020 at 14:42 comment added mme In fact the general linear group of this Banach space is contractible. There is a proof in this article of Mityagin. A different article of his promises a simpler argument but I couldn't find an online copy.
Jul 30, 2020 at 12:59 history asked mathcounterexamples.net CC BY-SA 4.0