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On Measurability for Vector-Valued Functions
Published online by Cambridge University Press: 20 November 2018
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The problem of developing an abstract integration theory has been approached from many angles (6). The most general of several definitions based on the norm topology is that of Birkhoff (1), which includes the well-known and widely used Bochner integral (3).
The original Birkhoff formulation was based on the notion of unconditional convergence of an infinite series of elements in a Banach space and the closed convex extensions of certain approximating sums.
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- Copyright © Canadian Mathematical Society 1963
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