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!
$\begingroup$
$\endgroup$
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
Add a comment
|
$\begingroup$
$\endgroup$
1
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)
-
$\begingroup$ 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
Not the answer you're looking for? Browse other questions tagged measure-theory reference-request banach-spaces separable-spaces or ask your own question.
Hot Network Questions
- When you are winning, is it ethical to not go for a checkmate right away?
- What's the name of a finite-capacity bin packing problem trying to minimize the weight of the heaviest bin?
- Does the Conquest Paladin's Fear spell hurt allies until level 10?
- Primes and Twin Primes
- What was the reason for a sharp decline in life expectancy in 16th century England?
- C++ Fast Fourier transform
- + 12volt and -12volts from pc psu. Can I get 24 volts?
- Least Action in General Relativity
- Photo Competition 2021-03-15: Reflections
- Examples of creative experiments by mathematicians in modern days
- Difference between -ている and こと•の
- Find three ways of forming the number 100 using 3,3,5,7
- What is the best type of grass for high-wear areas in England, and how to use?
- What is a realistic maximum velocity of a coilgun round from a 100 m barrel?
- Why don’t airplanes use turn signals?
- Writing an article outside of Academia. Is it likely to get supported?
- How do you say that a land is desolate without telling it literally in a poem?
- How to compress a string in Mathematica so that it can decompressed in python
- need to add custom contact and interaction facets into xConnect using ConvertToXConnectInteractionPipelineArgs
- Why does an exponential function eventually get bigger than a quadratic
- What is the opposite of 'owe'?
- How does one go about finding an obscure journal and paper?
- Logs 'Fizz' for multiples of three, 'Buzz', for multiples of 5, and 'Fizz Buzz' for multiples of 3 & 5
- What aspect of portable floating point did Java back down on?
