ご存じでしょう

do you know

→ 御存知
phrase Common #5,123
do you know A polite, honorific way to ask whether someone knows or is aware of something. ご存じでしょうか is the more common form for a polite question.
JA: この映画をご存じでしょう。
EN: You probably know this movie.

私が卵を嫌いなのはご存じでしょう

You know that I hate eggs, don't you?

私たちがどれだけあなたを尊敬しているご存じでしょう

You know how much we respect you.

— 善き人のためのソナタ (2006)

あなたがこの機械の使い方一番よくご存じでしょう

You probably know better than anyone how to use this machine.

木村さんはあなたもご存じでしょう

You probably know Kimura as well.