Right thing to do?

Hi gang, I've got a question in regards to this girl. I fell in love with someone who doesn't feel the same way. I've never told her this, but I can tell she does not feel the same way. So it's time to move on, and to do that I need to get her out of my head. Unfortunately for me, this girl is friends with all of my friends, so I'm going to see her quite often.

I need to give her some space but I don't want to seem like I'm ignoring her. I want to do the respectful thing and I thought maybe telling her that I'm just giving her space.

Would it be weird if I told her this? We're not that close, but I don't want to seem rude either.

I want to move on the right way; what should I do?
Right thing to do?
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