Norman's highest world ranking was number two in 2000 when he reached the final of the French Open before losing to Gustavo Kuerten.
He won 12 ATP titles between 1997 and 2000 and tied Pete Sampras and Andre Agassi with five tournament victories in 1999.
Johansson beats Agassi in Stockholm
He also made it to the semi-finals of the Australian Open in 2000.
Agassi keeps Masters Cup berth in view
Agassi marches on in Stockholm