Abstract:In 1938, G. Birkhoff [2] developed a theory of integration in Banach spaces which uses the approach via modified Riemann sums. In our paper, we generalize Birkhoff’s integration by basing it on an arbitrary set of "
\mu
-partitions" (being directed in a natural way) instead of the set of all "
\mu
-partitions" of the underlying measure space
(F, \mu)
. Our… Show more
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