Lieb–Thirring inequalities for complex finite gap Jacobi matrices

[1]  Jacob S. Christiansen,et al.  Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices , 2016, 1609.09566.

[2]  Jacob S. Christiansen Dynamics in the Szegő class and polynomial asymptotics , 2016, Journal d'Analyse Mathématique.

[3]  R. Frank,et al.  Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates , 2014, 1404.2817.

[4]  G. Katriel,et al.  Eigenvalues of Non-selfadjoint Operators: A Comparison of Two Approaches , 2012, 1209.0266.

[5]  Marcel Hansmann Variation of Discrete Spectra for Non-Selfadjoint Perturbations of Selfadjoint Operators , 2012, 1202.1118.

[6]  L. Golinskii,et al.  A Blaschke-type condition for analytic functions on finitely connected domains. Applications to complex perturbations of a finite-band selfadjoint operator , 2011, 1106.0864.

[7]  B. Simon Szegő's Theorem and Its Descendants: Spectral Theory for L 2 Perturbations of Orthogonal Polynomials , 2010 .

[8]  Marcel Hansmann An Eigenvalue Estimate and Its Application to Non-Selfadjoint Jacobi and Schrödinger Operators , 2010, 1006.5308.

[9]  R. Frank Eigenvalue bounds for Schrödinger operators with complex potentials , 2010, 1504.01144.

[10]  B. Simon,et al.  Critical Lieb-Thirring Bounds in Gaps and the Generalized Nevai Conjecture for Finite Gap Jacobi Matrices , 2010, 1003.4703.

[11]  G. Katriel,et al.  On the discrete spectrum of non-selfadjoint operators , 2009, 0908.2188.

[12]  G. Katriel,et al.  Inequalities for the Eigenvalues of Non-Selfadjoint Jacobi Operators , 2009, 0901.1725.

[13]  Jacob S. Christiansen,et al.  Finite Gap Jacobi Matrices, I. The Isospectral Torus , 2008, 0810.3273.

[14]  L. Golinskii,et al.  A Blaschke‐type condition and its application to complex Jacobi matrices , 2007, 0712.0407.

[15]  B. Simon,et al.  Eigenvalue Bounds for Perturbations of Schrödinger Operators and Jacobi Matrices With Regular Ground States , 2007, 0707.0998.

[16]  L. Golinskii,et al.  Lieb–Thirring Bounds for Complex Jacobi Matrices , 2007, 0706.3716.

[17]  B. Simon,et al.  Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices , 2007, 0705.3646.

[18]  B. Simon,et al.  Perturbations of orthogonal polynomials with periodic recursion coefficients , 2007, math/0702388.

[19]  E. Lieb,et al.  Lieb–Thirring Inequalities for Schrödinger Operators with Complex-valued Potentials , 2006, math-ph/0605017.

[20]  B. Simon,et al.  Lieb-Thirring Inequalities for Jacobi Matrices , 2001, J. Approx. Theory.

[21]  E. Lieb,et al.  A sharp bound for an eigenvalue moment of the one-dimensional Schrödinger operator , 1998, math-ph/9806012.

[22]  P. Yuditskii,et al.  Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and hardy spaces of character-automorphic functions , 1997 .

[23]  Tosio Kato Variation of discrete spectra , 1987 .

[24]  M. Kreĭn,et al.  Introduction to the theory of linear nonselfadjoint operators , 1969 .

[25]  A. Laptev,et al.  ABSOLUTELY CONTINUOUS SPECTRUM OF JACOBI MATRICES , 2007 .

[26]  D. Hundertmark Some Bound State Problems in Quantum Mechanics , 2007 .

[27]  Jacob T. Schwartz,et al.  Linear operators. Part II. Spectral theory , 2003 .

[28]  E. Lieb,et al.  Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities , 2002 .

[29]  T. Weidl On the Lieb-Thirring constants L ?,1 for ??1/2 , 1996 .

[30]  B. Simon Trace ideals and their applications , 1979 .

[31]  E. Lieb,et al.  Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter , 1975 .

[32]  F. Smithies Linear Operators , 1954, Nature.