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Nov 7, 2022 at 17:37 comment added Sanae Kochiya Very nice answer! I have been searching for answers in other forums and am sorry for the late responses. But thank you for reminding me of this trick, the same one used in proving the Open Mapping Theorem, and I have never imagined it can be used here.
Nov 7, 2022 at 17:19 vote accept Sanae Kochiya
Nov 3, 2022 at 16:43 history edited Ronnie Pavlov CC BY-SA 4.0
fixed a typo where "$S_{1/3}$" should have been "the range of $S_{1/3}$"
Nov 3, 2022 at 15:35 history answered Ronnie Pavlov CC BY-SA 4.0