These are long crew straps with American on them and one of the bases for the crew for American Airlines
Our airline straps feature a double snap and are 1.5" wide and about 13" long when installed on your luggage.
Made of a strong tear-resistant material similar to what you find in your suitcase.
Tip - If you are concerned about losing your strap, put a couple of drops of a strong glue like Super Glue in the snaps before snapping it onto your luggage. Will make it much harder to come off.