Djakov, Plamen Borissov and Mityagin, Boris (2009) Bari-Markus property for Riesz projections of Hill operators with singular potentials. In: Conference on Functional Analysis and Complex Analysis, Sabancı Üniversitesi, İstanbul, Türkiye
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Abstract
The Hill operators Ly = -y '' + v(x)y, x is an element of [0, pi], with H-1 periodic potentials, considered with periodic, antiperiodic or Dirichlet boundary conditions, have discrete spectrum, and therefore, for sufficiently large N, the Riesz projections
P-n = 1/2 pi i integral(Cn) (z-L)(-1)dz, C-n = {z: |z-n(2)| = n}
are well defined. It is proved that
Sigma(n>N) parallel to P-n - P-n(0)parallel to(2) < infinity,
where P-n(0) are the Riesz projections of the free operator.
| Item Type: | Papers in Conference Proceedings |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics |
| Depositing User: | Plamen Borissov Djakov |
| Date Deposited: | 08 Oct 2009 11:32 |
| Last Modified: | 26 Apr 2022 08:51 |
| URI: | https://research.sabanciuniv.edu/id/eprint/12136 |
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Bari-Markus property for Riesz projections of Hill operators with
singular potentials. (deposited 06 Nov 2008 11:27)
- Bari-Markus property for Riesz projections of Hill operators with singular potentials. (deposited 08 Oct 2009 11:32) [Currently Displayed]
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