Measure theory | Functional analysis | Types of functions

Weakly measurable function

In mathematics—specifically, in functional 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 in the usual (strong) sense. For separable spaces, the notions of weak and strong measurability agree. (Wikipedia).

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Related pages

Random variable | Banach space | Complex number | Almost surely | Functional analysis | If and only if | Function (mathematics) | Field (mathematics) | Function composition | Mathematics | Measure space | Real number | Separable space | Measurable function | Probability space | Measurable space