期刊论文详细信息
| Journal of the Australian Mathematical Society | |
| Operator approximations with stable elgenvalues | |
| Richard Bouldin1 | |
| 关键词: 47 A 99; 47 B 35; 41 A 35; | |
| DOI : 10.1017/S1446788700030524 | |
| 学科分类：数学（综合） | |
| 来源: Cambridge University Press | |
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【 摘 要 】
Suppose λ is an isolated eigenvalue of the (bounded linear) operator T on the Banach space X and the algebraic multiplicity of λ is finite. Let Tn be a sequence of operators on X that converge to T pointwise, that is, Tnx → Tx for every x ∈ X. If ‖(T − Tn)Tn‖ and ‖Tn(T − Tn)‖ converge to 0 then Tn is strongly stable at λ.
【 授权许可】
Unknown
【 预 览 】
| Files | Size | Format | View |
|---|---|---|---|
| RO201912040544218ZK.pdf | 293KB |  download |
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