Timeline for Show $A_0 + S$ is invertible, where $S$ is the Riesz projection of bounded $A_0$
Current License: CC BY-SA 4.0
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| Dec 29, 2022 at 16:48 | comment | added | Giorgio Metafune | I am using the results in DS I, Chapter 7, section 3. See in particular Theorem 18 (pag. 573 in my edition). In your case $\nu=1$. | |
| Dec 29, 2022 at 15:36 | comment | added | JZS | Thank you for the answer. Would it be possible for you provide a more specific reference to the theory you use? Is there a particular chapter or section of Dunford-Schwartz that you refer to? The last piece I cannot show is that the kernel of $S$ is contained in the image of $A_0$, and for this I suppose I will need to see how $A_0S =0$ implies the resolvent has a simple pole. | |
| Dec 26, 2022 at 21:56 | history | edited | Giorgio Metafune | CC BY-SA 4.0 |
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| Dec 26, 2022 at 20:01 | history | answered | Giorgio Metafune | CC BY-SA 4.0 |