Dirk Hundertmark, Barry Simon
Lieb-Thirring Inequalities for Jacobi Matrices
(55K, LaTeX 2e)

ABSTRACT.  For a Jacobi matrix J on l^2(N_0) with 
Ju(n)=a_{n-1} u(n-1) + b_n u(n) + a_n u(n+1)$, we prove that 
\sum_{\abs{E}>2} (E^2 -4)^{1/2} 
<= 
\sum_n \abs{b_n} + 4\sum_n \abs{a_n -1}. 
We also prove bounds on higher moments and some related results in 
higher dimension.