Absolute continuity for Jacobi matrices with power-like weights

• Autorzy: Wojciech Motyka
• Języki publikacji: EN

Abstrakty

EN

This work deals with a class of Jacobi matrices with power-like weights. The main theme is spectral analysis of matrices with zero diagonal and weights $λₙ: = n^{α}(1 + Δₙ)$ where α ∈ (0,1]. Asymptotic formulas for generalized eigenvectors are given and absolute continuity of the matrices considered is proved. The last section is devoted to spectral analysis of Jacobi matrices with qₙ = n + 1 + (-1)ⁿ and $λₙ = √(q_{n-1}qₙ)$.

Kategorie tematyczne

• 47A75: Eigenvalue problems
• 47B36: Jacobi (tridiagonal) operators (matrices) and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 2
• Strony: 179-190

Daty

wydano

2007

Twórcy

autor

Wojciech Motyka

• Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland

Identyfikatory

DOI

10.4064/cm107-2-2