Measurable enumeration of eigenelements

DOI10.1080/00036819908840704zbMath1013.47006OpenAlexW1891200798WikidataQ58244626 ScholiaQ58244626MaRDI QIDQ4487768

Alexander S. Kechris, Alexander Ya. Gordon

Publication date: 25 June 2000

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840704

zbMATH Keywords

separable Hilbert spacedescriptive set theorymeasurable enumerationmeasurable families of bounded linear operatorsmeasurable family of selfadjoint operators

Mathematics Subject Classification ID

Selections in general topology (54C65) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (4)

Exponential dynamical localization for the almost Mathieu operator ⋮ Full measure reducibility and localization for quasiperiodic Jacobi operators: a topological criterion ⋮ Random Sturm-Liouville operators ⋮ Exponential Dynamical Localization: Criterion and Applications

Cites Work

• Localization for a class of one dimensional quasi-periodic Schrödinger operators
• Spectral properties of disordered systems in the one-body approximation
• Descriptive set theory
• Anderson localization for the almost Mathieu equation: A nonperturbative proof
• Duality and singular continuous spectrum in the almost Mathieu equation
• THE STRUCTURE OF EIGENFUNCTIONS OF ONE-DIMENSIONAL UNORDERED STRUCTURES
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