Any way to heat an unheated closet in a 100+ year old home?

The closet off the bedroom in our 100+ year old farmhouse has no heat. Is there any way to add heat without a major remodeling project? I'd love to expand the unheated closet area into a walk-in closet, but, with cold winters in Wisconsin, am afraid the entire closet would end up being very cold. Help!

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