Timeline for Definition of an Orlicz modular space
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Sep 5, 2017 at 17:36 | history | edited | Gerald Edgar | CC BY-SA 3.0 |
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| Sep 5, 2017 at 17:34 | vote | accept | CommunityBot | ||
| Sep 5, 2017 at 17:34 | comment | added | user113782 | Oh bum, you are right, of course. Thank you! | |
| Sep 5, 2017 at 15:46 | comment | added | user113782 | I've had a mistake in (N2) and (N3), now they are fixed. From (N2) $\rho(x)=\rho(\lvert x\rvert)$ follows. But I think your first line cannot hold as stated, just take $x=y=1/2$ to falsify it. | |
| Sep 5, 2017 at 13:37 | comment | added | user113782 | You must be pretty close :-). In Musielak-Orlicz definition there is symmetry: $\rho(x)=\rho(-x)$. However, I do not think symmetry implies equality with $\rho(\lvert x \rvert)$ unless the modular is so-called orthogonally additive, i.e. unless one has $\rho(x+y)=\rho(x)+\rho(y)$ when $x,y$ are disjoint. | |
| Sep 5, 2017 at 13:29 | history | edited | Gerald Edgar | CC BY-SA 3.0 |
added 101 characters in body
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| Sep 5, 2017 at 13:11 | history | answered | Gerald Edgar | CC BY-SA 3.0 |