I've never cheated, but my boyfriend doesn't trust me because of past relationships.

My boyfriend and I have been separated for the past month. We had spent a year together previously. About a month after we were officially dating he began taking issue over who I hung out with and talk to. I love being with him first, so my friends naturally took the back burner. I have a handful of guy friends (strictly friends never had any intimate encounters or feelings with). I have always been very affectionate to my boyfriend and I love him more than anything. However, he always accused me of hiding something. We broke up off and on the last 6 months of our relationship primarily because of this issue. I ended up never seeing any of my friends because he didn't trust me to not flirt with other guys. Those who know me, I'm a very laid back girl. I don't dance (cause I KNOW I cant!), I stay back at the bar and just hang out. When I approached him about it he said that every girl he has been with has cheated on him. Particularly one girl he dated for 3 years who apparently cheated on him all the time but lied and hid it. He didn't find out about it all until some time after they broke up.

Anyway, my main question now is...he ended the relationship a month ago. Part of me was relieved yet at the same time we both can't deny we love each other more than anything. However, he says we can't be together because there will never be trust. Should I continue to give him space? How do I convey to him that, yes, over time he can earn my trust? Or is it a lost cause and I should move on? Truthfully, I am not ready to move on and don't know if I ever will be. I could go on and on with this but guys, please help a good girl figure out what to do. What could I say to him that will help convey the message?
I've never cheated, but my boyfriend doesn't trust me because of past relationships.
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