Timeline for Is there a version of Fischer-Riesz theorem for Banach space?
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Oct 26, 2018 at 13:44 | comment | added | Nate Eldredge | @RobertFurber: How about now? | |
Oct 26, 2018 at 13:44 | history | edited | Nate Eldredge | CC BY-SA 4.0 |
added 282 characters in body
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Oct 26, 2018 at 7:04 | comment | added | Robert Furber | I think the first sentence still has the potential to mislead someone who doesn't already know Bochner spaces. Specifically, Bochner spaces can still be defined where $B$ is inseparable, but then part of the definition is that the range of each function lies in a separable subspace (but that subspace varies from function to function). The problem, as pointed out by Gerald Edgar, is that the OP does not add this condition. | |
Oct 26, 2018 at 2:30 | history | edited | Nate Eldredge | CC BY-SA 4.0 |
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Oct 25, 2018 at 17:29 | history | edited | Nate Eldredge | CC BY-SA 4.0 |
sketch proof
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Oct 25, 2018 at 16:59 | comment | added | Jochen Glueck | Just to add a concrete example of quite a recent reference: see for instance "T. Hytönen, J. van Neerven, M. Veraar, L. Weis: Analysis in Banach Spaces, Volume I (2016)". Bochner spaces are treated in Chapter I in a rather general setting (for instance, without assuming $\sigma$-finiteness in general). | |
Oct 25, 2018 at 16:50 | history | answered | Nate Eldredge | CC BY-SA 4.0 |