# nLab normal operator

Contents

### Context

#### Algebra

higher algebra

universal algebra

# Contents

## Definition

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

$a a^* = a^* a \,.$

## Properties

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

Last revised on April 29, 2019 at 06:51:29. See the history of this page for a list of all contributions to it.