That depends on how much shielding is available. NASA says that an "estimated Mars mission" of 3 years will expose an astronaut to 1,200 mSv of radiation**. That's a dose rate of 0.5 mSv per hour. The Mayo Clinic on their website states that mild radiation sickness is avoided if the total dose across a person's entire body is under 1000 mSv in a 6 hour period. In other words, if the dose rate is under 167 mSv per hour.
Where are you getting that any astronauts living on a space station, which I presume would be vastly more shielded than an Earth-Mars interplanetary craft, would die from radiation sickness ? Our atmosphere, for instance, is equivalent to ~30 feet of water worth of space radiation shielding. That can be achieve with 4 inches of steel, not including the station's structure and other materials.
**This comes from NASA's presentation, "Space Faring: The Radiation Challenge"