Given a measurable function [itex]f[/itex] that is not real- or complex valued, but that maps into some vector space, what are the necessary conditions for it to be integrable?(adsbygoogle = window.adsbygoogle || []).push({});

I've looked through over 20 books on integration and measure theory, but they all only deal with integration of real (or sometimes also complex) valued functions!

Can anyone point me to a reference for integration of the more general class of functions mapping onto vector spaces?

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# Integration of functions mapping into a vector space

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