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May 26, 2023 at 10:19 comment added Dave Benson Ah! I didn't see @MoisheKohan's response above. Yes, this is essentially the example of Bass.
May 26, 2023 at 9:32 history edited Dave Benson CC BY-SA 4.0
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May 26, 2023 at 3:09 vote accept Александр Худяков
May 26, 2023 at 5:59
May 25, 2023 at 21:38 comment added Александр Худяков I can't prove that this group is not bounded (each cyclic subgroup is obviously bounded). But it seems that for general $A$ (when $A$, $A^{-1}$ don't have common eigenvalues) there are not many bases in which A is unitary.
May 25, 2023 at 21:32 comment added Александр Худяков What is the 3-dimensional example?
May 25, 2023 at 21:31 vote accept Александр Худяков
May 26, 2023 at 3:09
May 25, 2023 at 21:11 comment added Dave Benson I was originally trying dimension 2, and - surprise, surprise - it didn't work properly.
May 25, 2023 at 20:58 comment added Moishe Kohan You can even lower the dimension to 3 (the example is due to Bass).
May 25, 2023 at 20:58 comment added Dave Benson Sorry about the multiple edits, it took me a while to get the example working properly. I think it should be okay now.
May 25, 2023 at 20:56 history edited Dave Benson CC BY-SA 4.0
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May 25, 2023 at 20:43 history undeleted Dave Benson
May 25, 2023 at 20:42 history edited Dave Benson CC BY-SA 4.0
corrected (hopefully) the example.
May 25, 2023 at 20:30 history deleted Dave Benson via Vote
May 25, 2023 at 20:25 vote accept Александр Худяков
May 25, 2023 at 20:27
May 25, 2023 at 20:24 history edited Dave Benson CC BY-SA 4.0
added "with $|\lambda|=1$.
May 25, 2023 at 20:19 history undeleted Dave Benson
May 25, 2023 at 20:16 history edited Dave Benson CC BY-SA 4.0
added 205 characters in body
May 25, 2023 at 20:10 history deleted Dave Benson via Vote
May 25, 2023 at 20:08 history answered Dave Benson CC BY-SA 4.0