|
|||||
|
|
Subordinacy theory for extended CMV matrices |
|
| Authors: | Guo Shuzheng Damanik David Ong Darren C |
| Institution: | 1.School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, China ;2.Department of Mathematics, Rice University, Houston, TX, 77005, USA ;3.Department of Mathematics, Xiamen University Malaysia, Sepang, Selangor Darul Ehsan, 43900, Malaysia ; |
| Abstract: | We develop subordinacy theory for extended Cantero-Moral-Velázquez (CMV) matrices, i.e., we provide explicit supports for the singular and absolutely continuous parts of the canonical spectral measure associated with a given extended CMV matrix in terms of the presence or absence of subordinate solutions to the generalized eigenvalue equation. Some corollaries and applications of this result are described as well. |
| Keywords: | |
| 本文献已被 维普 SpringerLink 等数据库收录！ | |