Timeline for Uniformly continuous semigroups are analytic
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2023 at 10:52 | comment | added | ahdahmani | @Guest You are not quoting correctly, in fact, uniform continuous isn't the same as immediately uniform continuous, the same for diffierentiable. | |
| Apr 18, 2022 at 5:23 | comment | added | S. Maths | @DenisSerre he talked about "$C_0$-sg" not just "sg".. | |
| Apr 2, 2022 at 19:46 | comment | added | Guest | @DenisSerre I follow the standard monograph of Engel and Nagel where Diagram II.4.26 says that every analytic $C_0$-semigroup is (immediately) norm continuous. | |
| Apr 2, 2022 at 19:40 | comment | added | Denis Serre | @Guest. An analytic semi-group is a sg defined for $z$ beloging to an open sector of the complex plane. This does not imply that the sg be norm-continuous. Example: the heat semi-group. | |
| Apr 2, 2022 at 19:17 | comment | added | Guest | @DenisSerre No, I say an "analytic" $C_0$-semigroup is differentiable. | |
| Apr 2, 2022 at 19:15 | comment | added | Denis Serre | @Guest You say that a $C^0$-sg is differentiable, and that a differentiable sg is norm-continuous. Thus you imply that a $C^0$-sg is norm-continuous. Don't you ? | |
| Apr 2, 2022 at 19:13 | comment | added | Guest | @GiorgioMetafune Thanks! | |
| Apr 2, 2022 at 19:13 | comment | added | Guest | @DenisSerre But I never said that they are? | |
| Apr 2, 2022 at 9:59 | comment | added | Denis Serre | Something is wrong in your premisses, since $C^0$-semigroup are not necessarily norm-continuous. | |
| Apr 2, 2022 at 9:17 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Typo fixed
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| Apr 2, 2022 at 8:08 | comment | added | Giorgio Metafune | The answer is yes and you find it in any book on semigroups. In few words we may define $e^{zA} $ by a power series. | |
| Apr 2, 2022 at 7:01 | history | asked | Guest | CC BY-SA 4.0 |