چكيده فارسي :
In this paper, we investigate the conditions under which a normal
operator is bounded. It is known that, if T is self-adjoint and ¾(T) is
bounded, then T is bounded. We try to extend this for normal operators.
And, we prove that the Moor- Penrose inverse of a normal operator
is normal. Also, we prove that the approximate point spectrum of normal
operator T equals to the spectrum of T.
