What does it mean when a girl stares at you but doesn't smile?

Anonymous
I was in my uni library today studying with my friend when I realized that a cute girl across the other side of the room was looking at me. When I saw her look at me we both held eye contact for about 3 seconds before she looked away. Then I looked away and continued to talk to my friend. I checked to see she if she was looking at me again and she was. So again, we both held eye contact before she turned away again and pushed the hair away from her face. Then I looked away and again continued to talk to my friend. I looked up at her for the third time, and again she did the same thing. She held eye contact with me but after about 4 or 5 seconds she looked away again and pushed the hair away from her face. Every time she was looking at me she never smiled once but she held eye contact. In fact, it was more of a dirty look. Not really so much a dirty look but more of a 'not-so-happy' look. Although she was quite far away so I couldn't see exactly what kind of look it was.

So what does it mean if a girl keeps staring at you but does not smile? I didn't go over and talk to her because I was not sure if she wanted me to approach her. Did she just not want to give me the wrong impression?
What does it mean when a girl stares at you but doesn't smile?
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