Lieb-Thirring inequalities for complex finite gap Jacobi matrices

被引：4

作者：

Christiansen, Jacob S. ^{[1
]}

Zinchenko, Maxim ^{[2
]}

机构：

[1] Lund Univ, Ctr Math Sci, Box 118, S-22100 Lund, Sweden

[2] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2017年 / 107卷 / 09期

关键词：

Finite gap Jacobi matrices; Complex perturbations; Eigenvalues estimates; BLASCHKE-TYPE CONDITION; SCHRODINGER-OPERATORS; EIGENVALUE BOUNDS; DISCRETE SPECTRA; PERTURBATIONS;

D O I：

10.1007/s11005-017-0961-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish Lieb-Thirring power bounds on discrete eigenvalues of Jacobi operators for Schatten class complex perturbations of periodic and more generally finite gap almost periodic Jacobi matrices.

引用

页码：1769 / 1780

页数：12

共 50 条

[1] Lieb-Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices
Christiansen, Jacob S.
Zinchenko, Maxim
[J]. ANNALES HENRI POINCARE, 2017, 18 (06): : 1949 - 1976
[2] Lieb-Thirring inequalities for Jacobi matrices
Hundertmark, D
Simon, B
[J]. JOURNAL OF APPROXIMATION THEORY, 2002, 118 (01) : 106 - 130
[3] Lieb–Thirring inequalities for complex finite gap Jacobi matrices
Jacob S. Christiansen
Maxim Zinchenko
[J]. Letters in Mathematical Physics, 2017, 107 : 1769 - 1780
[4] Lieb-Thirring bounds for complex Jacobi matrices
Golinskii, Leonid
Kupin, Stanislav
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2007, 82 (01) : 79 - 90
[5] Lieb–Thirring Inequalities for Finite and Infinite Gap Jacobi Matrices
Jacob S. Christiansen
Maxim Zinchenko
[J]. Annales Henri Poincaré, 2017, 18 : 1949 - 1976
[6] New constants in discrete Lieb-Thirring inequalities for Jacobi matrices
Sahovic A.
[J]. Journal of Mathematical Sciences, 2010, 166 (3) : 85 - 92
[7] CRITICAL LIEB-THIRRING BOUNDS IN GAPS AND THE GENERALIZED NEVAI CONJECTURE FOR FINITE GAP JACOBI MATRICES
Frank, Rupert L.
Simon, Barry
[J]. DUKE MATHEMATICAL JOURNAL, 2011, 157 (03) : 461 - 493
[8] On inequalities of Lieb-Thirring type
Barsegyan, D. S.
[J]. MATHEMATICAL NOTES, 2007, 82 (3-4) : 451 - 460
[9] Sum rules for Jacobi matrices and divergent Lieb-Thirring sums
Zlatos, A
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 225 (02) : 371 - 382
[10] LIEB-THIRRING INEQUALITIES ON THE SPHERE
Ilyin, A.
Laptev, A.
[J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2020, 31 (03) : 479 - 493

← 1 2 3 4 5 →