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Generally shopping malls in Taipei open by 11 AM but other shops open by 10am.
It says here: http://www.asiatravel.com/taiwan/taiinfo1.html
Working hours department and other stores are 10:00-9:30 pm (some stores upto 22h)
This page says http://www.worldtravelguide.net/taipei/shopping
Shops are open daily 1000-2200, while night markets stay open till 0100 and convenience shops are open 24 hours.
As for shopping markets, including camera market (boai road), you can see here: