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We disprove a conjecture of Breuer–Last–Simon (Breuer et al. in Constr Approx 32(2):221–254, 2010) concerning the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an ℓ2 bounded variation condition… Click to show full abstract
We disprove a conjecture of Breuer–Last–Simon (Breuer et al. in Constr Approx 32(2):221–254, 2010) concerning the absolutely continuous spectrum of Jacobi matrices with coefficients that obey an ℓ2 bounded variation condition with step q. We prove existence of a.c. spectrum on a smaller set than that specified by the conjecture and prove that our result is optimal.
Keywords:
bounded variation;
spectrum jacobi;
spectrum;
absolutely continuous;
continuous spectrum;
jacobi matrices
Journal Title: Communications in Mathematical Physics
Year Published: 2017
Link to full text (if available)
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Journal Title: Communications in Mathematical Physics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!