Timeline for Convex set with no interior contained in hyperplane?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14 at 4:43 | answer | added | user1286767 | timeline score: 1 | |
| Jun 9 at 15:22 | answer | added | Saúl RM | timeline score: 5 | |
| May 1, 2021 at 16:52 | vote | accept | Tomer | ||
| May 1, 2021 at 15:45 | history | became hot network question | |||
| May 1, 2021 at 15:45 | history | became hot network question | |||
| May 1, 2021 at 11:31 | answer | added | Gerald Edgar | timeline score: 14 | |
| May 1, 2021 at 10:01 | answer | added | Jack L. | timeline score: 2 | |
| May 1, 2021 at 9:31 | comment | added | Tomer | $X^{*}$ is the usual dual space - The space of all bounded linear functionals on $X$. | |
| May 1, 2021 at 9:08 | comment | added | მამუკა ჯიბლაძე | And $X^*$ just all linear forms? Not necessarily continuous? | |
| May 1, 2021 at 8:37 | comment | added | Tomer | What i meant by an affine hyperplane is a set of the form {$ f^{-1}(c) $} where $c \in ℝ$ and $0\neq f \in X^{*} $. | |
| May 1, 2021 at 8:27 | comment | added | Jack L. | Even for a closed hyperplane, this may not be the case; for instance if $K$ has, say $0$, as an internal point. In that case the affine hull of $K$ will be the entire normed linear space. | |
| May 1, 2021 at 8:26 | comment | added | მამუკა ჯიბლაძე | @FedorPetrov Thanks and sorry... | |
| May 1, 2021 at 8:13 | comment | added | Fedor Petrov | Do you mean closed hyperplane? Say, @მამუკაჯიბლაძე's example lies in the proper subspace (namely, in $l^1$), thus in a hyperplane, but not in a closed hyperplane. | |
| May 1, 2021 at 8:00 | comment | added | მამუკა ჯიბლაძე | How about the convex hull of a basis wrt Euclidean norm? | |
| May 1, 2021 at 7:44 | history | asked | Tomer | CC BY-SA 4.0 |