A spectral alternative for continuous families of self-adjoint operators

DOI10.4171/JST/40zbMath1286.47010OpenAlexW2080355517MaRDI QIDQ1948488

Alexander Ya. Gordon

Publication date: 6 May 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jst/40

zbMATH Keywords

eigenvalueself-adjoint operatorCantor spectrumergodic operatoroperator familycontinuous branch

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (2)

Extendability of eigenvalues for continuous families of self-adjoint operators ⋮ Mixed spectral types for the one-frequency discrete quasi-periodic Schrödinger operator

Cites Work

• On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations
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• Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
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