Timeline for Regarding extreme point in a Banach space
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 20, 2019 at 11:20 | vote | accept | user534666 | ||
| Feb 20, 2019 at 11:20 | history | edited | user534666 | CC BY-SA 4.0 |
deleted 2 characters in body
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| Feb 19, 2019 at 15:38 | comment | added | Skeeve | @user534666 Should $|f^*(x)|=1$ read as $|f(x)|=1$? | |
| Feb 19, 2019 at 11:31 | answer | added | Mateusz Wasilewski | timeline score: 2 | |
| Feb 19, 2019 at 11:22 | comment | added | Dirk Werner | The condition is reasonable; e.g., the constant-1 function in $C[0,1]$ is such an $x$ (and it is extreme). Note that the set of all vectors satisfying the condition in the question is closed; so the best one can hope for is that $x$ is in the (norm-) closure of $E_X$. | |
| Feb 19, 2019 at 11:09 | comment | added | user534666 | @erz this question is in context to the proof of Proposition 2 inthis paper sciencedirect.com/science/article/pii/S0022247X03005961 I am not understanding how they make the statement. ‘In particular, $Tx$ is in $E_Y$. | |
| Feb 19, 2019 at 11:03 | comment | added | erz | Something is wrong with your condition: $x$ cannot be "parallel" to every extreme point of $E_{X^{*}}$. | |
| Feb 19, 2019 at 10:32 | history | asked | user534666 | CC BY-SA 4.0 |