Working in a coworking space means that you may be willingly (or unwillingly!) introduced to important business information of other members of the space. It is of utmost importance that you treat this information with privacy. Do not share it with others, unless you are specifically authorized by the above mentioned member.
After all, you wouldn't be too happy if someone shared private information related to you and your business to the public, right?
Alex Tokmakchiev