A sufficient condition for the continuity of the spectrum of a discrete Schrödinger operator

DOI10.1007/BF01083499zbMath0623.47059OpenAlexW2086730060MaRDI QIDQ1091592

Alexander Ya. Gordon

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01083499

zbMATH Keywords

Schrödinger operatorpointwise spectrumuniformly approximated by means of periodic functions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

On eigenvalue bounds for a general class of Sturm-Liouville operators ⋮ New operator inequalities in finite-dimensional vector spaces ⋮ On spectral bands of discrete periodic operators ⋮ A version of Gordon’s theorem for multi-dimensional Schrödinger operators ⋮ Imperfectly grown periodic medium: absence of localized states ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas

Cites Work

• Singular continuous spectrum for a class of almost periodic Jacobi matrices

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