Deviations of Riesz projections of Hill operators with singular potentials
| dc.creator | Djakov, Plamen | |
| dc.creator | Mityagin, Boris | |
| dc.date | 2008-02-15 | |
| dc.date.accessioned | 2026-07-07T09:21:12Z | |
| dc.date.available | 2026-07-07T09:21:12Z | |
| dc.description | It is shown that the deviations $P_n -P_n^0$ of Riesz projections $$ P_n = \frac{1}{2πi} \int_{C_n} (z-L)^{-1} dz, \quad C_n=\{|z-n^2|= n\}, $$ of Hill operators $L y = - y^{\prime \prime} + v(x) y, x \in [0,π],$ with zero and $H^{-1}$ periodic potentials go to zero as $n \to \infty $ even if we consider $P_n -P_n^0$ as operators from $L^1$ to $L^\infty. $ This implies that all $L^p$-norms are uniformly equivalent on the Riesz subspaces $Ran P_n. $ | |
| dc.identifier | https://arxiv.org/abs/0802.2197 | |
| dc.identifier | http://arxiv.org/abs/0802.2197 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154940 | |
| dc.subject | Spectral Theory | |
| dc.subject | 34L40; 47B06; 47E05 | |
| dc.title | Deviations of Riesz projections of Hill operators with singular potentials | |
| dc.type | text |