AF Embeddings and the Numerical Computation of Spectra in Irrational Rotation Algebras

DOI10.1080/01630560600790785zbMath1105.65060arXivmath/0312315OpenAlexW2154889662MaRDI QIDQ5485897

Nathanial P. Brown

Publication date: 4 September 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312315

zbMATH Keywords

convergencecontinued fractionsspectrum approximationHausdorff distance of spectra

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) Applications of functional analysis in numerical analysis (46N40)

Related Items (5)

On spectral approximation, Følner sequences and crossed products ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators ⋮ Quasi-diagonality and the finite section method ⋮ Følner Sequences in Operator Theory and Operator Algebras

Uses Software

• Pseudospectra

Cites Work

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• Absolutely continuous spectrum for 1D quasiperiodic operators.
• Generalizing Eigenvalue Theorems to Pseudospectra Theorems
• \(C^*\)-algebras by example

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