Timeline for On a compact operator in the plane
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 3 at 12:43 | vote | accept | Ali | ||
| Apr 30 at 20:11 | answer | added | Ali | timeline score: 1 | |
| Apr 30 at 8:11 | comment | added | Giorgio Metafune | Nice. How can you prove this? In vol 1 of Dunford Schwartz there is a result saying that the linear span of the generalized eigenfunctions is dense if the resolvent decays like $1/|\lambda|$ on certain arcs. Then this is not your case. | |
| Apr 29 at 23:03 | comment | added | Ali | It actually turns out that the spectrum contains only zero and nothing else. So I guess the best next question to ask is what is the best resolvent estimates for T near zero. | |
| Apr 29 at 14:17 | comment | added | Giorgio Metafune | The only thing I see is compactness: $G$ is bounded form $L^2$ to $H^2$ and then $T$ is bounded form $L^2$ to $H^1$, hence compact from $L^2$ into itself. | |
| Apr 28 at 15:11 | history | asked | Ali | CC BY-SA 4.0 |