4
$\begingroup$

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!

$\endgroup$
1
  • $\begingroup$ 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
3
$\begingroup$

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)

$\endgroup$
1

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.