Monday, a judge ruled no harm, no foul. The BBC reports:
Mr Justice Edward Mann ruled that the computer company used the Apple logo in association with its store, not the music, and so was not in breach.
The ruling means iPods and iTunes will still be able to carry the Apple name and logo.
The Beatles' label, which wanted London's High Court to award damages and stop its rival using the Apple logo in its music operations, will appeal.
Mr Justice Mann ruled iTunes was "a form of electronic shop" and not involved in creating music.
"I conclude that the use of the apple logo ... does not suggest a relevant connection with the creative work," he wrote in his judgment.