期刊论文详细信息
Canadian mathematical bulletin | |
Weak Sequential Completeness of $mathcal K(X,Y)$ | |
Qingying Bu1  | |
[1] Department of Mathematics, University of Mississippi, University, MS 38677, USA | |
关键词: weak sequential completeness; reflexivity; compact operator space; | |
DOI : 10.4153/CMB-2011-202-9 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
For Banach spaces $X$ and $Y$, we show that if $X^ast$ and $Y$ areweakly sequentially complete and every weakly compact operator from$X$ to $Y$ is compact then the space of all compact operators from $X$to $Y$ is weakly sequentially complete. The converse is also true if,in addition, either $X^ast$ or $Y$ has the bounded compactapproximation property.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050576979ZK.pdf | 12KB | download |