My arms are pretty white with some slight golden tan. Your coating is or isn't this color.
This would be a calcium typw stain and there are commercial products for removing calcium stains, but you should test them on just one piece first... perhaps starting with a dilute solution.
I have always gotten rid of this with a very mild kitchen abrasive applied to Bounty kitchen towels and a little elbow grease.
People with different colored arms may have other solutins.