Timeline for The definition of essential spectrum for general closed operators
Current License: CC BY-SA 4.0
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| Feb 20, 2022 at 13:29 | comment | added | W. Fan | Oh! Maybe $\sigma_{e5}$ is the right definition to make sure $\sigma(A)\setminus\sigma_{\text{ess}}(A)\subset\sigma_{\text{d}}(A)$, am I right? | |
| Feb 20, 2022 at 13:25 | comment | added | W. Fan | @DCM Thank you every much for your comment! This book helps a lot! It lists all kinds of definitions of essential spectra, wow! Recently I'm reading a paper which uses the fact that $\sigma(A)\setminus\sigma_{\text{ess}}(A)\subset\sigma_{\text{d}}(A)$, which is well known for self-adjoint operators in Hilbert spaces . The paper says that it takes the definition as $\sigma_{e3}$ in section 4 of chapter 1 of the book you mentioned. I'm looking for a proof now, which is likely not contained in this book, right? Do you know any reference for it? | |
| Feb 20, 2022 at 10:47 | comment | added | DCM | Welcome to MathOverflow! Chapters 1 of Edmunds and Evans' [Spectral Theory and Differential operators][1] is (I think) easily the best reference for this kind of thing, and contains everything you could ever want to know about this :) [1]: scholar.google.co.uk/scholar_url?url=https://books.google.co.uk/… | |
| Feb 20, 2022 at 1:43 | history | edited | W. Fan | CC BY-SA 4.0 |
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| Feb 19, 2022 at 5:43 | history | edited | W. Fan |
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| Feb 18, 2022 at 13:28 | history | edited | W. Fan | CC BY-SA 4.0 |
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| S Feb 18, 2022 at 13:23 | review | First questions | |||
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| S Feb 18, 2022 at 13:23 | history | asked | W. Fan | CC BY-SA 4.0 |