Timeline for How many values determine a norm?
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 19, 2015 at 10:30 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
the introduction of $p$ too early was confusing
|
| Apr 15, 2015 at 12:58 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
I made explicit my counterexample for a denumerable and non-dense set.
|
| Apr 14, 2015 at 21:42 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
added 8 characters in body
|
| Apr 14, 2015 at 21:05 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
a word was missing
|
| Apr 14, 2015 at 20:08 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
added "a bit more" paragraph
|
| Apr 14, 2015 at 19:47 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
added 6 characters in body
|
| Apr 14, 2015 at 16:35 | comment | added | Duchamp Gérard H. E. | .@asaf shachar Exactly ! You are right. [can you please elaborate on your explicit example for deformation?]--> OK, I did it in the answer above. | |
| Apr 14, 2015 at 16:24 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
as asked by asaf shashar I elaborated a bit.
|
| Apr 14, 2015 at 13:22 | vote | accept | Asaf Shachar | ||
| Apr 14, 2015 at 13:21 | comment | added | Asaf Shachar | I think I understood the general idea, I can just deform the original unit ball, to some other bounded, convex, symmetric shape, changin it only in a small enough neigbourhood of $M$ where I do not have any constraints about the norm's values. | |
| Apr 14, 2015 at 13:12 | comment | added | Asaf Shachar | can you please elaborate on your explicit example for deformation? I understand the intuitive idea that we can change the norm in a neigbourhood of $M$. I am still not sure about why the resulting function (the norm after the change) will satisfy the triangle inequality. | |
| Apr 13, 2015 at 20:04 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
[unit ball]-->[unit sphere]
|
| Apr 13, 2015 at 4:23 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
orthograh and added "(the unit sphere)" explaining what is $S_V$
|
| Apr 12, 2015 at 15:40 | comment | added | Will Sawin | an explicit deformation that works should be the set of $v$ such that $|v \cdot w| \leq 1$ for $w \in U$. | |
| Apr 12, 2015 at 12:29 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
added the concept of "set of uniqueness"
|
| Apr 12, 2015 at 12:24 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
added the concept of "set of uniqueness"
|
| Apr 12, 2015 at 12:05 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
put bold characters
|
| Apr 12, 2015 at 9:46 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
Given a hint for the situation with complex coefficients
|
| Apr 12, 2015 at 9:32 | history | edited | Duchamp Gérard H. E. | CC BY-SA 3.0 |
I repaired my idea considering opposite points
|
| Apr 12, 2015 at 9:10 | history | answered | Duchamp Gérard H. E. | CC BY-SA 3.0 |