Timeline for On the strong convergence of generators and the corresponding semigroups
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 25, 2022 at 15:05 | comment | added | Giorgio Metafune | That I do not know; however it is the only counterexample I know. | |
| Apr 25, 2022 at 15:02 | comment | added | sharpe | @GiorgioMetafune It is not immediately clear for me whether the sequence of semigroups in this paper converge to a symmetric semigroup. Anyway, thank you very much for the information. | |
| Apr 25, 2022 at 14:35 | comment | added | Giorgio Metafune | Without the stability assumption there are counterexamples, but I do not know if they appear also in your specific situation. I know F. Kuhnemund, M. Wacker: The Lie Trotter formula dose not hold for arbitrary sums of generators, Semigroup Forum 60 (2000), 478-485. | |
| Apr 25, 2022 at 14:11 | comment | added | sharpe | @GiorgioMetafune Thank you for your comment. Yes. I'm thinking of a situation where it's not immediately clear if the stability assumption holds. | |
| Apr 25, 2022 at 14:07 | comment | added | Giorgio Metafune | If you have $\|T_t^n\| \le Me^{\omega t}$ with the same $M, \omega$, this is a version of Trotter-Kato approximation theorem. Are you asking if this is true without the above stability assumption? | |
| Apr 25, 2022 at 13:57 | history | edited | sharpe | CC BY-SA 4.0 |
added 11 characters in body
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| Apr 25, 2022 at 13:43 | history | asked | sharpe | CC BY-SA 4.0 |