Synthical

Your space

Activity

Favorites

Account

Folders

Feeds

Contacts

About

Spectral Theory

Mathematical Physics

Show similar

From arXiv

A Spectral Equivalence for Jacobi Matrices

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

.

Simplify

Updated on July 7, 2006

Copy BibTeX

Edited 2 times

Loading...

There is no AI-powered summary yet, because we do not have a budget to generate summaries for all articles.

1. Buy subscription

We will thank you for helping thousands of people to save their time at the top of the generated summary.

If you buy our subscription, you will be able to summarize multiple articles.

Pay $8

≈10 summaries

Pay $32

≈60 summaries

2. Share on socials

If this article gets to top-5 in trends, we'll summarize it for free.

Copy link

Content

Summary