Weakly Measurable Function

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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. Measurable functions are structure-preserving functions between measurable spaces; as such, they form a natural context for the theory of integration. Specifically, a function between measurable spaces is said to be measurable if the preimage of each measurable set is measurable, analogous to the situation of continuous functions between topological spaces.

Pagina's: 76, Paperback, Betascript Publishers