Critical Lieb-thirring Bounds in Gaps and the Generalized Nevai Conjecture for Finite Gap Jacobi Matrices
نویسنده
چکیده
We prove bounds of the form ∑ e∈I∩σd(H ) dist ( e, σe(H ) )1/2 ≤ L-norm of a perturbation, where I is a gap. Included are gaps in continuum one-dimensional periodic Schrödinger operators and finite gap Jacobi matrices, where we get a generalized Nevai conjecture about an L1-condition implying a Szegő condition. One key is a general new form of the Birman-Schwinger bound in gaps.
منابع مشابه
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تاریخ انتشار 2010