Absolute Continuity of Spectral Measure for Certain Unbounded Jacobi Matrices

Ryszard Szwarc

doi:10.1007/978-3-0348-7600-1_18

Absolute Continuity of Spectral Measure for Certain Unbounded Jacobi Matrices

Ryszard Szwarc

https://doi.org/10.1007/978-3-0348-7600-1_18

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Publication Date: Jan 1, 2002

Citations: 14

Affiliation: Institute of Mathematics

#Unbounded Jacobi Matrices #Jacobi Matrices + Show 8 more

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Abstract

Spectral properties of unbounded symmetric Jacobi matrices are studied. Under mild assumptions on the coefficients absolute continuity of spectral measure is proved. Only operator theoretic proofs are provided. Some open problems of Ifantis are solved.

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