Uni-asymptotic Linear systems and Jacobi Operators
Sign Up to like & getrecommendations! Published in 2019 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-019-2522-6
Abstract: A family $$\left\{ U_s\right\} _{s\in S}$$Uss∈S of bounded linear operators in a normed space X is uni-asymptotic, when all its trajectories $$\left\{ U_sx\right\} _{s\in S}$$Usxs∈S with $$x\not =0$$x≠0 have the same norm-asymptotic behavior (see 1.5);… read more here.
Keywords: left right; asymptotic linear; uni asymptotic; linear systems ... See more keywords
Full measure reducibility and localization for quasiperiodic Jacobi operators: A topological criterion
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DOI: 10.1016/j.aim.2017.08.026
Abstract: Abstract We establish a topological criterion for connection between reducibility to constant rotations and dual localization, for the general family of analytic quasiperiodic Jacobi operators. As a corollary, we obtain the sharp arithmetic phase transition… read more here.
Keywords: reducibility; quasiperiodic jacobi; jacobi operators; localization ... See more keywords
ANALYTIC SCATTERING THEORY FOR JACOBI OPERATORS AND BERNSTEIN-SZEGO ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS
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DOI: 10.1142/s0129055x18400196
Abstract: We study semi-infinite Jacobi matrices H = H 0 + V corresponding to trace class perturbations V of the " free " discrete Schrodinger operator H 0. Our goal is to construct various spectral quantities… read more here.
Keywords: bernstein szego; theory jacobi; jacobi; jacobi operators ... See more keywords