Subordinacy theory for extended CMV matrices

Autor:	David Damanik, Shuzheng Guo, Darren C. Ong
Rok vydání:	2021
Předmět:	Mathematics - Spectral Theory Matrix (mathematics) Pure mathematics Mathematics - Classical Analysis and ODEs General Mathematics Classical Analysis and ODEs (math.CA) FOS: Mathematics Mathematics::Spectral Theory Absolute continuity Spectral Theory (math.SP) Spectral measure Eigenvalues and eigenvectors Mathematics
Zdroj:	Science China Mathematics. 65:539-558
ISSN:	1869-1862 1674-7283
DOI:	10.1007/s11425-020-1778-4
Popis:	We develop subordinacy theory for extended CMV matrices. That is, 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 of the generalized eigenvalue equation. Some corollaries and applications of this result are described as well. Comment: 25 pages. To appear in Science China Mathematics
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eb5723ca862bf7fe6e98dc98eaa9ed9 https://doi.org/10.1007/s11425-020-1778-4 Zobrazit plný text záznamu Full text from SpringerLink