Timeline for Definition of an Orlicz modular space
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Sep 5, 2017 at 17:34 | vote | accept | CommunityBot | ||
| Sep 5, 2017 at 15:35 | history | edited | user113782 | CC BY-SA 3.0 |
edited typos in (N2) and (N3)
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| Sep 5, 2017 at 15:16 | history | edited | Martin Sleziak |
added (orlicz-spaces) tag
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| Sep 5, 2017 at 13:11 | answer | added | Gerald Edgar | timeline score: 0 | |
| Sep 5, 2017 at 13:09 | comment | added | user113782 | Ok, I can see how this will work for positive and disjoint elements. If $\lvert x\rvert \wedge \lvert y\rvert = 0$ then $\lvert x\rvert \vee \lvert y\rvert = \lvert x\rvert + \lvert y\rvert$ and the result follows from (N3) because $\rho(\alpha x)$ is known to be non-decreasing function of $\alpha$ on $[0,\infty)$ for any fixed $x$. | |
| Sep 5, 2017 at 12:55 | comment | added | user113782 | @GeraldEdgar For positive $x$ and $y$ it is certainly true. But what then? | |
| Sep 5, 2017 at 12:24 | comment | added | Gerald Edgar | Perhaps you need to prove $$\alpha x+\beta y\le x+y \text{ for all } \alpha,\beta\ge0,\alpha+\beta=1,$$ maybe just for positive $x,y$. Is that true in a vector lattice? | |
| Sep 5, 2017 at 11:57 | history | edited | Martin Sleziak |
added top-level tag; http://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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| Sep 5, 2017 at 11:54 | history | asked | user113782 | CC BY-SA 3.0 |