analysis—a weakly measurable function taking values in a Banach space is a function whose composition with any element of the dual space is a measurable function...

and in particular measure theory, a measurable function is a function between the underlying sets of two measurable spaces that preserves the structure...

Bochner-measurable function taking values in a Banach space is a function that equals almost everywhere the limit of a sequence of measurable countably-valued...

complex onePages displaying short descriptions of redirect targets Weakly measurable function Evans, Lawrence C. (1998). Partial differential equations. Providence...

every n > N and for every measurable set A. As before, this implies convergence of integrals against bounded measurable functions, but this time convergence...

Lebesgue-measurable functions does not have to be Lebesgue-measurable as well. Nevertheless, a composition of a measurable function with a continuous function...

measurable selection theorem is a result from measure theory that gives a sufficient condition for a set-valued function to have a measurable selection...

Type of topological space Vector measure Weakly measurable function James K. Brooks, Representations of weak and strong integrals in Banach spaces, Proceedings...

space – Type of topological space Bochner measurable function Pettis integral Vector measure Weakly measurable function Diestel, Joseph; Uhl, Jr., John Jerry...

(they are in fact weakly Mahlo). All measurable cardinals are real-valued measurable, and a real-valued measurable cardinal κ is measurable if and only if...