3.5 m. is young adult. Totally different than the juveniles kept at Monterey that all were in the ~1.5 m range. As has been mentioned before, there really are three major issues in keeping great whites:
1 They don't transport well. If you want a realistic chance, you need an aquarium located near where the great white shark is caught. For simple logistic reasons, transporting a big shark (huge circular transport tank) is much harder than transporting a small shark (small circular transport tank). This really isn't all that different from other shark species where max transport size typically is 1.5-2 m, with preferred size <1.5 m. There are plenty of places where great whites may be seen near the coast, but only a very small number of places where small ones regularly are seen. Incidentally, California is one of these places, giving Monterey a natural avantage. Furthermore, sharks caught by accident in fishing gear, like the recent great white in Japan, stand very little chance in an aquarium. Standard fishing gear invariable causes injuries, fishermen usually don't know how to handle big sharks that are supposed to stay alive, transport to the aquarium may be less than optimum, and the receiving aquarium will usually not have had much time for preparations before getting the shark. That being said; if anyone actually could have kept the 3.5 m great white received under those circumstances alive it would probably have been Okinawa, as they have more experiance with large elasmobranchs than pretty much everyone else (multi-generation breeding of bull, first captive breeding of sicklefin lemon, first captive birth of tiger, longest keeping of whale sharks, only to breed manta ray, etc).
2. Great whites have issues with barriers and tend to scrape, eventually developing wounds and getting infections. This is pretty much the same as other pelagic sharks, e.g. blue and mako.
3. If they survive the initial phase, they become hyper-predatory and will literally eat any other animal in the tank. Despite their small size, some of Monterey's great whites had started showing an "interest" in other species in the tank and those are all quite large species. The 1968 Manly Marineland great white even started showing predatory tendencies towards divers in the tank and it was only 2.3 m long! If someone managed to keep an adult great white, they'd have a huge tank with only one inhabitant, except perhaps for a few fish so small (30 cm or less) that the great white would ignore them. Contrary to some suggestions, it really shouldn't be much of a problem to feed an adult large great white. Sure they eat sea mammals, but repeated studies have shown that they feed on pretty much every medium to large sized animal (mammals, fish, birds, sea turtles) and are not at all selective. Indeed, overall large fish (e.g., tuna) may be more important to most populations than sea mammals, and carcasses play a major role in their diet too.
Tiger sharks have proven much less problematic than great whites and typically survive years in captivity. I believe the current record was a female at Veracruz that was released due to size after almost 8 years in the aquarium. Remarkably, tigers tend to be bit skittish in aquariums, contradicting their "eats everything" reputation. Although there are few kept, there are a few more than the ones already mentioned in this thread. That includes at least the female and her young at Okinawa. I think (not completely sure) that Veracruz still has tiger, too. Remarkably, both the Okinawa and Veracruz predatory shark tanks are relatively small compared to the largest ocean tanks (just below 1 million l, each), but they've both been custom made for sharks (e.g., rounded corners).