Below is the ascii version of the abstract for 03-535. The html version should be ready soon.

R. del Rio, M. Kudryavtsev
Rank One Perturbations of Jacobi Matrices with Mixed Spectra
(336K, Postscript)

ABSTRACT.  We study spectral properties of rank one perturbations of selfadjoint 
$$ A_{\lambda } = A + \lambda < \varphi , \cdot > \varphi $$ 
\noindent in relation to their dependence on the real parameter 
$\lambda $. For semi infinite Jacobi matrices criteria is given that 
guarantees existence of mixed spectral types for sets of positive 
measure in the coupling constant $\lambda $ when the unperturbed 
operator has a potential which vanishes in a finite interval.