Timeline for Dual fixed point
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 28, 2020 at 6:52 | vote | accept | erz | ||
| Jan 7, 2020 at 16:56 | comment | added | erz | The thing is, I don't need this property to hold for every $\nu$, I need it to hold for a given $\nu$, and so it may depend on $\nu$. This should be a geometric condition that takes into account the way the kernel of $\nu$ dissects the unit ball of $E$. Thank you nonetheless! | |
| Jan 7, 2020 at 9:55 | comment | added | Jochen Glueck | @erz: Thank you for the correction; I corrected (ii) accordingly. Concerning your second comment, I added a second part to the answer: for most Banach spaces, one cannot weaken the reflexivity assumption if one wants all power-bounded operators to be mean ergodic. | |
| Jan 7, 2020 at 9:53 | history | edited | Jochen Glueck | CC BY-SA 4.0 |
Added additional information.
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| Jan 7, 2020 at 9:02 | history | edited | Jochen Glueck | CC BY-SA 4.0 |
Fixed an inaccuracy in (ii).
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| Jan 7, 2020 at 3:50 | comment | added | erz | This is however, not exactly what I was looking for; I was more interested in conditions on $E$ and $\nu$... | |
| Jan 7, 2020 at 3:48 | comment | added | erz | Thank you! A small correction: in (ii) the latter is separated by the former. | |
| Jan 6, 2020 at 18:04 | comment | added | Pietro Majer | We may add that the limit in (i) is the linear projector onto $\ker(I-T)$ associated with the decomposition in (iii) | |
| Jan 6, 2020 at 15:13 | history | answered | Jochen Glueck | CC BY-SA 4.0 |