Lieb--Thirring bounds for complex Jacobi matrices

2007/06/25 by Golinskii, L., Kupin, S. · 1 citation
#39A70. #47B36 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.0706.3716

Abstract

We obtain various versions of classical Lieb--Thirring bounds for one- and multi-dimensional complex Jacobi matrices. Our method is based on Fan-Mirski Lemma and seems to be fairly general.

Cited by

• Optimal Lieb-Thirring type inequalities for Schrödinger and Jacobi operators with complex potentials

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