Give an example of a normal operator $T$ on a complex inner product space, which is an isometry but $T^2≠I_V$.
(This question did not give what the inner product is, so how should I do? If under dot product, does T=(0 1; -1 0) satisfy?
Give an example of a normal operator $T$ on a complex inner product space, which is an isometry but $T^2≠I_V$.
(This question did not give what the inner product is, so how should I do? If under dot product, does T=(0 1; -1 0) satisfy?