This is the 13046th most frequent Turkish word.
kapatmış
"Closed" or "has closed."
The word "kapatmış" here is in past form with an evident aspect indicating that the action of "closing" (the shop) was done and is a known fact or conclusion.
O, dükkanı akşam saatlerinde kapatmış.
He had closed the shop in the evening.
"Kapatmış" in this sentence indicates the perfective aspect of "closing," suggesting the action was completed recently or might have implications on the present context.
Camı açık bırakmış, ama şimdi kapatmış.
He left the window open, but now he has closed it.
Here, "kapatmış" is used in conjunction with the modal auxiliary "olmalı" (must have) to express a logically derived or inferred past action.