Hello,
But keep in mind the root cause of the problem at hand which is, unavoidably, the posts being supported at the deck. From this beginning point all remedies will be band-aids and if not broadly considered will simply displace the potential for real problems and, worse yet, create new headaches. With the suggestion of a gasket or elevating the posts, the problem there at the posts may well be addressed but what about the decking material where there is now a place cut off from proper air circulation and an interface of two dissimilar materials where condensation will build up and be retained, microbes will become active, wood rot will set in.
Short of a structural solution, I would go even further than I suggested to begin with, outlining the place of the posts on the deck, hollowing the material out there by 3 to 5 mm, leaving a ledge of a centimeter or so supporting the perimeter of the posts, sloping to a drainage hole centered directly under the posts, plus cutting two channels through the bottoms of the posts, 25 mm deep by 10 mm wide, perpendicular to each other, crossing at the center point of the post, or another configuration of your choosing. It's a matter of creating the maximal potential for circulation within the parameters Dan has given.
Greetings,
Don Wagstaff