True - When Arthur Zissen died in his Florida apartment in late September 2007, he failed to give the landlord 60 days advance notice he was going to die.
The manager at the Sun Harbour Yearly Residences sent the family a bill demanding rent for October, November, and December, and telling them Art forfeited his security deposit and last month's rent for failing to give 60 days notice. It said it was "just following the letter of the lease."
The family took the case to court and won, but then the landlord appealed and the family had to wait for another decision from the judge in the appellate court. A $2,000 bill for court costs and lawyers fees of $17,000 was added.
Luckily, the family was awarded attorney fees in the first case and asked for attorney fees in the appeal. The entire estate was on hold until the case is resolved. Finally the landlord lost the appeal in 2008. Might be a good idea to check your lease or ask your landlord, so your estate doesn't have this problem when you die.