Absolutely continuous spectrum of one random elliptic operator

DOI10.1016/j.jfa.2008.04.019zbMath1154.47040OpenAlexW2019697260MaRDI QIDQ941426

B. E. Eshmatov

Publication date: 1 September 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.04.019

zbMATH Keywords

absolutely continuous spectrumtrace formulasrandom operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Random linear operators (47B80)

Related Items (6)

Absolutely continuous spectrum of a typical operator on a cylinder ⋮ On spectral theory for Schrödinger operators with operator-valued potentials ⋮ Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential ⋮ Absolutely continuous spectrum of the Schrödinger operator with a potential representable as a sum of three functions with special properties ⋮ Absolutely continuous spectrum of a Dirac operator in the case of a positive mass ⋮ Absolutely continuous spectrum of a one-parameter family of Schrödinger operators

Cites Work

• On random Schrödinger operators on \(\mathbb{Z}^2\)
• Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
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