Timeline for Power of an infinitesimal generator of a $C_0$-semigroup in a Banach space
Current License: CC BY-SA 4.0
8 events
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| Feb 7, 2020 at 18:05 | history | edited | YCor | CC BY-SA 4.0 |
edited tags, formatting
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| Mar 12, 2019 at 22:14 | answer | added | Jochen Glueck | timeline score: 1 | |
| Mar 7, 2019 at 10:47 | comment | added | Jochen Glueck | @AndrásBatkai: This was my first thought, too; but after all, I think it's a bit more subtle: the resolvent set of $A^n$ can indeed by empty (for instance, if the spectrum of $A$ is the left halfplane). So with this argument you can only show that $(A-\lambda)^n$ is closed for some scalar $\lambda$ - but then it is not obvious why this should imply that $A^n$ is closed. | |
| Mar 7, 2019 at 8:39 | comment | added | András Bátkai | This is more an exercise and there are many arguments. For example you could show that the resolvent set of $A^n$ is not empty. | |
| Mar 7, 2019 at 8:12 | history | edited | Ma Pa | CC BY-SA 4.0 |
added 283 characters in body
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| Mar 7, 2019 at 7:12 | comment | added | Jochen Glueck | Cross-posted from math.stackexchange.com. | |
| Mar 7, 2019 at 5:23 | history | edited | Ma Pa | CC BY-SA 4.0 |
edited title
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| Mar 7, 2019 at 5:11 | history | asked | Ma Pa | CC BY-SA 4.0 |