Mathematics – Spectral Theory
Scientific paper
2006-04-24
Mathematics
Spectral Theory
13 pages
Scientific paper
We use the classical results of Baxter and Gollinski-Ibragimov to prove a new spectral equivalence for Jacobi matrices on $l^2(\N)$. In particular, we consider the class of Jacobi matrices with conditionally summable parameter sequences and find necessary and sufficient conditions on the spectral measure such that $\sum_{k=n}^\infty b_k$ and $\sum_{k=n}^\infty (a_k^2 - 1)$ lie in $l^2_1 \cap l^1$ or $l^1_s$ for $s \geq 1$.
No associations
LandOfFree
A Spectral Equivalence for Jacobi Matrices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Spectral Equivalence for Jacobi Matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Spectral Equivalence for Jacobi Matrices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-583038