Q: For the TPS7A7001, I am concerned about stability. According to Figure 3, a no/light load, there is a minimum ESR required that is not neccesarily in the range of ceramic caps.
With that, the use of ceramic capacitors the device is not stable at no load. Even the EVM would not be stable at no load.

Is that true? What is the minimum ESR for stability at no load?


A: No need for series resistor. This is fine with ceramic capacitors. 

Under this light load conditions, if the feedback resistors are chosen as shown in Table 1, in the datasheet they should be fine.