On the continuous linear image of a Banach space

Journal of the Australian Mathematical Society

R. W. Cross¹ 

关键词: Primary 47 A 05;    secondary 47 A 53;    47 A 55;    47 D 30;    47 D 40;    46 B 25;   

DOI  :  10.1017/S1446788700021200

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

A subspace of a Banach space is called an operator range if it is the continuous linear image of a Banach space. Operator ranges and operator ideals with fixed range space are investigated. Properties of strictly singular, strictly cosingular, weakly sequentially precompact, and other classes of operators are derived. Perturbation theory and closed semi-Fredholm operators are discussed in the final section.

【 授权许可】

Unknown