I know that the group of unitary operators on infinite dimensional separable Hilbert space is connected but I would like to know whether the group of invertible isometries on $\ell^p$ is connected when $p\in[1,\infty)\setminus\{ 2 \}$. I haven't been able to get an answer (I don't know whether the Banach-Lamperti theorem can be used in any way) and I also can't seem to find relevant literature so I am looking for help here.
2026-03-27 10:10:05.1774606205
Group of invertible isometries on $\ell^p$
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