翻译：His name is familiar to us.
It probably would not be accepted; recognize is not exactly equivalent to be familiar with here, and the Chinese verb 熟悉 is probably only translated as be familiar with in its most superficial sense.
The verb recognize in this context is perhaps most closely translated as 认得.
I am of course familiar with your work. 我當然熟悉你的工作。
She wrote in a familiar style. 她用親切的筆調寫作。