Spectral and asymptotic properties of dominated operators

Journal of the Australian Mathematical Society

Frank Räbiger¹ 

[1] Manfred P. H. Wolff

关键词: primary 47B65;    47A10;    47A35;    47A53;   

DOI  :  10.1017/S144678870000029X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We investigate the relationship between the peripheral spectrum of a positive operator T on a Banach lattice E and the peripheral spectrum of the operators S dominated by T, that is, ]Sx] ≤ T]x] for all x ε E. This can be applied to obtain inheritance results for asymptotic properties of dominated operators.

【 授权许可】

Unknown