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Jul 16, 2022 at 0:33 comment added Tom Goodwillie Oh, I just noticed that you are asking for $s$ to be defined even at $0$. This is impossible even if the dimension of $F$ is $2$ and the image of $T$ is two-dimensional.
Jul 15, 2022 at 22:45 comment added Eduardo Longa I’m sorry @TomGoodwillie I don’t understand how
Jul 15, 2022 at 22:39 comment added Tom Goodwillie It seems that you can replace $E$ by the image of $T$, a finite-dimensional vector space.
Jul 15, 2022 at 20:56 history edited Eduardo Longa CC BY-SA 4.0
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Jul 15, 2022 at 20:25 history edited Eduardo Longa CC BY-SA 4.0
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Jul 15, 2022 at 20:17 history edited Eduardo Longa CC BY-SA 4.0
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Jul 14, 2022 at 15:11 history edited Eduardo Longa CC BY-SA 4.0
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Jul 14, 2022 at 13:54 history asked Eduardo Longa CC BY-SA 4.0