Djakov, Plamen Borissov and Mityagin, Boris (2009) BariMarkus 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 H1 periodic potentials, considered with periodic, antiperiodic or Dirichlet boundary conditions, have discrete spectrum, and therefore, for sufficiently large N, the Riesz projections
Pn = 1/2 pi i integral(Cn) (zL)(1)dz, Cn = {z: zn(2) = n}
are well defined. It is proved that
Sigma(n>N) parallel to Pn  Pn(0)parallel to(2) < infinity,
where Pn(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 
Available Versions of this Item

BariMarkus property for Riesz projections of Hill operators with
singular potentials. (deposited 06 Nov 2008 11:27)
 BariMarkus property for Riesz projections of Hill operators with singular potentials. (deposited 08 Oct 2009 11:32) [Currently Displayed]