#
nLab
normal operator

Contents
# 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 10:51:29.
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