Answer to Question #224236 in Functional Analysis for Misbah

Question

Give an example of a normal operator and explain it in detail

Answer 1

A normal operator on a complex Hilbert space is a continuous linear operator $N$ that commutes with its hermitian adjoint.I.e., $NN^*=N^*N$. All Hermitian operators ($N=N^*$ ) are normal. As an example, one can take an identity operator $I$.