recognize

To match (something or someone which one currently perceives) to a memory of some previous encounter with the same person or thing.

"I recognised his face immediately."

To acknowledge the existence or legality of; to treat as valid or worthy of consideration.

"The US and a number of EU countries are expected to recognize Kosovo on Monday."

(or with clause) To acknowledge or consider (as being a certain thing or having a certain quality or property).

"I recognize that my behaviour has been unacceptable."