Well, I have a different spin on this: I'd say if someone betrays your trust, you might have to mistrust yourself rather than merely mistrusting others. After all, you made a misjudgment on whether or not someone is trustworthy. Not that you should blame yourself -- you're not a bad person, it's still the other's fault.
However, the question really is if you find a reason why you made the mistake, and now are satisfied that you understand what went wrong. Then you can trust/not based on whether the person actually becomes trustworthy in the future and gives you a reason to believe that.
In practice, usually I doubt trust can come back, because in practice if someone deliberately breaks your trust, and not for any real reason, they just aren't the type of person who ought to be trusted.
However, the question really is if you find a reason why you made the mistake, and now are satisfied that you understand what went wrong. Then you can trust/not based on whether the person actually becomes trustworthy in the future and gives you a reason to believe that.
In practice, usually I doubt trust can come back, because in practice if someone deliberately breaks your trust, and not for any real reason, they just aren't the type of person who ought to be trusted.