Timeline for Computing Bochner integrals with values in L^p-spaces by Lebesgue integrals?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Apr 8 at 20:19 | comment | added | Martin Väth | Yes, the measurability of $f$ implies the existence of a product measurable $g$ whenever $X$ is an ideal space ($X=L_\infty(\Bbb R^d)$ is such a space). The converse may fail for non-regular ideal spaces (like $X=L_\infty(\Bbb R^d$): For product-measurable $g$ the function $f$ is not (strongly Bochner) measurable, in general. | |
| Aug 10, 2023 at 13:36 | comment | added | Akira | May I ask if such measurable representation exists if $X=L_\infty (\mathbb{R}^d)$? | |
| Nov 22, 2020 at 15:45 | history | edited | Martin Väth | CC BY-SA 4.0 |
Fix name and monograph reference.
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| Nov 22, 2020 at 11:16 | history | edited | Martin Väth | CC BY-SA 4.0 |
added 200 characters in body
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| Nov 22, 2020 at 11:09 | history | answered | Martin Väth | CC BY-SA 4.0 |