Unbounded Jacobi Matrices with Empty Absolutely Continuous Spectrum
Bulletin Polish Acad. Sci. Math. 56 (2008), 39-51 MSC: Primary 47B36; Secondary 47A75. DOI: 10.4064/ba56-1-5
Sufficient conditions for the absence of absolutely continuous spectrum for unbounded Jacobi operators are given. A class of unbounded Jacobi operators with purely singular continuous spectrum is constructed as well.