On a class of non-self-adjoint periodic boundary value problems with discrete real spectrum

2010/04/14 by Lyonell Boulton, Boulton, Lyonell, Michael Levitin +3
Computer Science · Mathematics · Physics and Astronomy · #34B24 #47E05 #76R99 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP #msc:34B24 #msc:47E05 #msc:76R99

paper · pdf · doi:10.48550/arxiv.1004.2355

8 pages.

arxiv created 2010/04/14 · openalex publication_date 2010/04/14 · arxiv updated 2010/04/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In [arXiv:0801.0172] we examined a family of periodic Sturm-Liouville problems with boundary and interior singularities which are highly non-self-adjoint but have only real eigenvalues. We now establish Schatten class properties of the associated resolvent operator.

Related

• Selfadjoint realization of boundary-value problems with interior singularities
• On the stability of a forward-backward heat equation
• Indefinite Sturm-Liouville operators with periodic coefficients
• On the Simplicity of the Eigenvalues of the Non-self-adjoint Mathieu-Hill Operators
• On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent