Bochner integral


Bochner integral

[¦bäk·nər int·i·grəl] (mathematics) The Bochner integral of a function, ƒ, with suitable properties, from a measurable set, A, to a Barach space, B, is the limit of the integrals over A of a sequence of simple functions, sn, from A to B such that the limit of the integral over A of the norm of ƒ -sn approaches zero.