From [UESP](http://www.uesp.net/wiki/Skyrim:Weapons):

 - Swords
 - Maces
 - War Axes
 - Daggers

The material type will not affect whether or not its one or two handed.

Finally, here are the two handed weapon types so you know which ones to avoid:
 
 - Greatswords
 - Warhammers
 - Battleaxes
 - Bows