I've never kept a basket star before, but I read up about them a few months ago as I was thinking of getting one. From what I've read, these are one of those creatures that generally need a constant stream of live phytoplankton to survive. Nilsen & Fossa's book, Reef Secrets, mentions that over 95% of basket stars collected for aquariums die in under 6 months. I guess that they are really delicate and are easily damaged during shipping and collecting. I think the best way to keep them would be in a setup similar to one you would use for sea fans:something with strong alternating currents and regular feeding of MarineSnow or Cyclop-eeze.