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 wit...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.展开更多
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)+3 种基金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。
文摘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.
