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Bochner integral

   Also found in: Wikipedia 0.02 sec.
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 overAof a sequence of simple functions,sn, fromAtoBsuch that the limit of the integral overAof the norm of ƒ -snapproaches zero.


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