Strongly measurable function
Strong measurability has a number of different meanings, some of which are explained below.
Values in Banach spaces
For a function f with values in a Banach space, strong measurability usually means Bochner measurability.However, if the values of f lie in the space of continuous linear operators from X to Y, then often strong measurability means that the operator f is Bochner measurable for each fixed x in the domain of f, whereas the Bochner measurability of f is called uniform measurability.