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- W4237737693 abstract "Let X be a Banach space with dual ${X^ast }$ and let $(Omega ,Sigma ,mu )$ be a finite measure space. Suppose $f:Omega to X$ is weakly measurable. There exists a (norm) measurable $g:Omega to X$ such that $langle {x^ast },frangle = langle {x^ast },grangle$ a.e. for each ${x^ast } in {X^ast }$ if and only if each set A of positive $mu$-measure has a subset B of positive $mu$-measure such that there is a weakly compact convex subset K of X with the property that [ langle {x^ast },frangle leqslant sup limits _{x in K} ;langle {x^ast },xrangle ] $mu$-almost everywhere on B for each ${x^ast } in {X^ast }$." @default.
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- W4237737693 date "1978-01-01" @default.
- W4237737693 modified "2023-10-18" @default.
- W4237737693 title "Vector Valued Functions Equivalent to Measurable Functions" @default.
- W4237737693 doi "https://doi.org/10.2307/2040903" @default.
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