Left invertible completions of upper triangular operator matrices with unbounded entries
Autor: | Alatancang, Ya-ru Qi, Jun-jie Huang |
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Rok vydání: | 2015 |
Předmět: | |
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 |
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