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 | |
【 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 】
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