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Mathematics > Spectral Theory

arXiv:1404.4991 (math)
[Submitted on 19 Apr 2014 (v1), last revised 3 Nov 2014 (this version, v2)]

Title:Spectral gap estimates for some block matrices

Authors:Ivan Veselic, Kresimir Veselic
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Abstract: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.
Comments: 31 pages, 4 figures
Subjects: Spectral Theory (math.SP)
Cite as: arXiv:1404.4991 [math.SP]
  (or arXiv:1404.4991v2 [math.SP] for this version)
  https://doi.org/10.48550/arXiv.1404.4991
Journal reference: Operators and Matrices ,Volume: 9, Issue: 2 (June, 2015)
Related DOI: https://doi.org/10.7153/oam-09-15

Submission history

From: Ivan Veselić [view email]
[v1] Sat, 19 Apr 2014 22:03:45 UTC (109 KB)
[v2] Mon, 3 Nov 2014 15:19:33 UTC (109 KB)
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