nLab normal operator

Contents

Contents

Definition

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

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

Properties

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

Last revised on September 28, 2023 at 15:25:37. See the history of this page for a list of all contributions to it.