Below is the ascii version of the abstract for 05-371. The html version should be ready soon.

Luis O. Silva, Julio H. Toloza
Jacobi Matrices with Rapidly Growing Weights Having Only Discrete Spectrum
(57K, LaTeX 2e)

ABSTRACT.  We establish sufficient conditions for self-adjointness on a class of unbounded Jacobi operators defined by matrices with main diagonal 
sequence of very slow growth and rapidly growing off-diagonal entries. 
With some additional assumptions, we also prove that these operators 
have only discrete spectrum.