Preservation of absolutely continuous spectrum of periodic Jacobi operators under perturbations of square-summable variation
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Publication:663326
DOI10.1007/s00365-011-9126-yzbMath1242.47024arXiv0912.1142OpenAlexW2056032746MaRDI QIDQ663326
Publication date: 14 February 2012
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.1142
Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items (10)
On higher-order Szegő theorems with a single critical point of arbitrary order ⋮ On a conjecture for higher-order Szegő theorems ⋮ Preservation of a.c.\ spectrum for random decaying perturbations of square-summable high-order variation ⋮ Orthogonal polynomials with recursion coefficients of generalized bounded variation ⋮ A class of Schrödinger operators with decaying oscillatory potentials ⋮ \(\ell^2\) bounded variation and absolutely continuous spectrum of Jacobi matrices ⋮ Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients ⋮ Square-summable variation and absolutely continuous spectrum ⋮ Stability of asymptotics of Christoffel-Darboux kernels ⋮ Revisiting the Christ–Kiselev’s multi-linear operator technique and its applications to Schrödinger operators
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