Aha, I've found the answer!
Ellinair (which operates these flights) has IATA code EL.
There was a regional carrier called Air Nippon (regional subsidiary of All Nippon=ANA), which also had IATA code EL. Air Nippon closed in 2012 (merged back into ANA).
So, it looks like Kayak's database is seeing a flight by an airline with IATA code EL, and attaching the outdated Air Nippon name to it.
Last edited by cestmoi123; Apr 28, 2015 at 6:51 pm