How do you deal with a coworker who doesn't like you for no (apparent) reason?

1truekhaleesi
I have a coworker who doesn't seem to like me for some reason. I can tell because she's so friendly and smiley towards the people we work with but acts like I don't exist. She goes out of her way to act like I don't exist. She always asks the people we work with if they need help or if she can do anything for them. She doesn't even talk to me ever. If she's talking to our co-workers, and I say something she will disregard what I say. I'm sure I'm not imagining this. The only issue I can think is that she got upset that I have an identical looking water bottle and seemed convinced that I stole it. She didn't apologize when she found it where she left it.
How do you deal with a coworker who doesn't like you for no (apparent) reason?
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