nLab
normal operator

Contents

Definition

An element aAa \in A in a C-star algebra is called normal of its commutes with its star-adjoint:

aa *=a *a. a a^* = a^* a \,.

Properties

The spectral theorem asserts, roughly, that (bounded) normal operators can be diagonalized

Created on March 16, 2011 15:02:02 by Urs Schreiber (46.144.132.190)