The metrics of Hermitian holomorphic vector bundles and the similarity of Cowen-Douglas operators

Autor:	Kui Ji, Shanshan Ji
Rok vydání:	2021
Předmět:	Pure mathematics Multiplication operator Similarity (network science) Applied Mathematics General Mathematics Numerical analysis Holomorphic function Vector bundle Hermitian matrix Mathematics
Zdroj:	Indian Journal of Pure and Applied Mathematics. 53:736-749
ISSN:	0975-7465 0019-5588
DOI:	10.1007/s13226-021-00168-8
Popis:	In this note, we investigate the similarity of Cowen-Douglas operators with index one in terms of the ratio of metrics of the corresponding holomorphic bundles. For the case of index two, we give some sufficient and necessary conditions for the similarity of $$M_{z}^{*}\oplus M_{z}^{*}$$ by using the ratio of determinants of the metrics, where $$M_{z}$$ is the multiplication operator of weighted Bergman spaces.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c87268913a5104b538a3b4f7c190778f https://doi.org/10.1007/s13226-021-00168-8 Zobrazit plný text záznamu Full text from SpringerLink