Sum of Banach valued Borel measurable functions need not be Borel measurable when the Banach space is not separable. Any references to this result? Many thanks!
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$\begingroup$ Does the domain also have to be a topological space equipped with the Borel $\sigma$-algebra, or can it be any measurable space? $\endgroup$ – epimorphic May 29 '15 at 16:52
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See Theorem 2.16 in: Measurability and Pettis integration in Hilbert spaces. Masani, P. in: Journal für die reine und angewandte Mathematik - 297 | Periodical 44 page(s) (92 - 135)
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$\begingroup$ An (apparently legal) copy of the article can be found here: digizeitschriften.de/dms/toc/?PPN=PPN243919689_0297 $\endgroup$ – PhoemueX Jun 21 '15 at 21:48
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