Timeline for Unit ball of the sum space
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 28, 2022 at 8:06 | answer | added | Jochen Wengenroth | timeline score: 4 | |
| Aug 28, 2022 at 7:25 | comment | added | Jochen Wengenroth | Right, it is rather the anti-diagonal. The open unit ball of the quotient norm is always the image of the open unit ball under the quotient map. I do not claim that the statement is immediate (one still has to determine the unit ball of $V\oplus V$). | |
| Aug 26, 2022 at 15:17 | comment | added | Iosif Pinelis | @JochenWengenroth : I understand that $\Delta:=\{(v,-v)\colon v\in V\}$, right? Also, does $\|\cdot\|_+$ being the quotient norm immediately imply the desired characterization of the unit $\|\cdot\|_+$-ball? | |
| Aug 26, 2022 at 7:43 | history | became hot network question | |||
| Aug 26, 2022 at 6:57 | comment | added | Jochen Wengenroth | This is the quotient norm of $V\cong (V\oplus V)/\Delta$ where $\Delta$ is the diagonal and $V\oplus V$ is the direct sum with the norm $\|(v_1,v_2)\|=\|v_1\|_1+\|v_2\|_2$. | |
| Aug 26, 2022 at 1:22 | vote | accept | Willie Wong | ||
| Aug 26, 2022 at 0:32 | answer | added | Iosif Pinelis | timeline score: 6 | |
| S Aug 26, 2022 at 0:00 | history | suggested | mathworker21 | CC BY-SA 4.0 |
fixed grammar
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| Aug 26, 2022 at 0:00 | review | Suggested edits | |||
| S Aug 26, 2022 at 0:00 | |||||
| Aug 25, 2022 at 23:43 | history | asked | Willie Wong | CC BY-SA 4.0 |