Here is a picture (not actual plant, but it looks just like it)

Here is a link that might be useful:

Hmmm... might be a Heliconia of some kind, but my guess would be the white bird of paradise, Strelitzia nicolae, which is commonly sold as a foliage plant. It's a close relative of the typical bird of paradise but grows much bigger, the flowers are not nearly as showy, and it will rarely bloom indoors.

As for what's wrong with it, sorry but I have no clue.

Strelitzias often roll their leaves if they don't get enough water to help prevent water loss. They also do it when they are overwatered.

Thanks for the info! Humidity (too low) seems to be the likely culprit.

Having a second look at the photo, I would have to agree that the plant is extremely rootbound--that pot is much too small for a plant that size. Get that poor thing into a larger pot!

" but they are not unfurling."

Is this a case of each new furl becoming entrapped in the previous furl? Cut it off and the next time it happens, manually unroll the furl.