SPECTRAL GAP ESTIMATES FOR SOME BLOCK MATRICES

被引：2
|
作者：
Veselic, Ivan [1 ]
Veselic, Kresimir [2 ]
机构：
[1] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany
[2] Fernuniv, Fak Math & Informat, D-58084 Hagen, Germany
来源：
OPERATORS AND MATRICES | 2015年 / 9卷 / 02期
关键词：
spectral gap estimates; block matrices; quais-definite matrices; Stokes matrices; Dirac symmetry; spectral pollution; SCHRODINGER-OPERATORS; PRODUCT;
D O I：
10.7153/oam-09-15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We estimate the size of the spectral gap at zero for some Hermitian block matrices. Included are quasi-definite matrices, quasi-semidefinite matrices (the closure of the set of the quasi-definite matrices) and some related block matrices which need not belong to either of these classes. Matrices of such structure arise in quantum models of possibly disordered systems with supersymmetry or graphene like symmetry. Some of the results immediately extend to infinite dimension.
引用
收藏
页码：241 / 275
页数：35
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