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Nov 9, 2013 at 21:52 answer added mathcounterexamples.net timeline score: 1
Nov 9, 2013 at 16:19 comment added Dirk Also the case of subspaces replaced by convex sets (and also with more than two of them) is well studied. Buzzwords are "POCS" (projections onto convex sets), alternating projection method, von Neumann's alternating projection algorithm. In case of closed set you get at least weak convergence but probably that is not the case you are interested in?
Nov 9, 2013 at 14:39 comment added Bill Johnson This is a well studied topic. For the most recent results look at papers by Eva Kopecka.
Nov 9, 2013 at 10:17 history asked mathcounterexamples.net CC BY-SA 3.0