摘要
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.
基金
supported by the Fundamental Research Grant Scheme from the Malaysian Ministry of Education(Grant No.FRGS/1/2018/STG06/XMU/02/1)
Xiamen University Malaysia Research Fund(Grant No.XMUMRF/2020-C5/IMAT/0011)
supported by China Scholarship Council(Grant No.201906330008)
National Natural Science Foundation of China(Grant No.11571327)
supported by National Science Foundation of USA(Grant No.DMS-1700131)
Alexander von Humboldt Foundation。
