ℓ2 Bounded Variation and Absolutely Continuous Spectrum of Jacobi Matrices
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DOI: 10.1007/s00220-017-3015-6
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… read more here.
Keywords: bounded variation; spectrum jacobi; spectrum; absolutely continuous ... See more keywords
Periodic Jacobi matrices on trees
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DOI: 10.1016/j.aim.2020.107241
Abstract: We begin the systematic study of the spectral theory of periodic Jacobi matrices on trees including a formal definition. The most significant result that appears here for the first time is that these operators have… read more here.
Keywords: periodic jacobi; matrices trees; jacobi matrices;