Ok that's all the page (
http://www.sweden.gov.se/sb/d/2710/a/15435 ) says but the PDF document on the right hand side of the page doesn't seem to mention anything to do with the death penalty.
There is focus on no extradition for political or military grounds, but there could be a route around that by US law classifying what he has done on a different basis.
And I'm sure the US would be able to concoct some reason for the extradition - that's somewhat obvious anyway and the US authorities are said to have several laws they want to take him down for breaching - and producing the outcome of the crime investigation wouldn't be too taxing either.
And even if I have overlooked where it mentions the death penalty in the actual statute, they could extradite him on some other law and prosecute him for that if they think it's the only way to get Sweden to legitimately hand him over.
I'm prepared to be wrong in my belief that Sweden will be or are being pressurised to hand him over and I'd like to think I am. But this whole rape allegation thing is just waaaaay to coincidental for me to just accept. The timing of it just doesn't feel right.