Left invertible completions of upper triangular operator matrices with unbounded entries

Autor:	Alatancang, Ya-ru Qi, Jun-jie Huang
Rok vydání:	2015
Předmět:	Combinatorics Invertible matrix Operator matrix law Applied Mathematics Triangular matrix Direct consequence Space decomposition law.invention Mathematics
Zdroj:	Acta Mathematicae Applicatae Sinica, English Series. 31:369-374
ISSN:	1618-3932 0168-9673
Popis:	Given two closed, in general unbounded, operators A and C, we investigate the left invertible completion of the partial operator matrix $$\left( {\begin{array}{*{20}{c}} A&? \\ 0&C \end{array}} \right)$$ . Based on the space decomposition technique, the alternative sufficient and necessary conditions are given according to whether the dimension of $$\mathcal{R}(A)^ \bot$$ is finite or infinite. As a direct consequence, the perturbation of left spectra is further presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::161e4ca1a94542f93835dd0e84bc5216 https://doi.org/10.1007/s10255-015-0468-2 Zobrazit plný text záznamu Full text from SpringerLink