| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article overview
| |
|
The Schur-Horn theorem for unbounded operators with discrete spectrum | Marcin Bownik
; John Jasper
; Bartłomiej Siudeja
; | Date: |
16 Jun 2016 | Abstract: | We characterize diagonals of unbounded self-adjoint operators on a Hilbert
space H that have only discrete spectrum, i.e., with empty essential spectrum.
Our result extends the Schur-Horn theorem from a finite dimensional setting to
an infinite dimensional Hilbert space, analogous to Kadison’s theorem for
orthogonal projections, Kaftal and Weiss’ results for positive compact
operators, and Bownik and Jasper’s characterization for operators with finite
spectrum. Furthermore, we show that if a symmetric unbounded operator E on H
has a nondecreasing unbounded diagonal, then any sequence that weakly majorizes
this diagonal is also a diagonal of E. | Source: | arXiv, 1606.5236 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |