The Uncomplemented Subspace $mathbf K(X,Y) $

Canadian mathematical bulletin

Ioana Ghenciu¹ 

[1] University of Wisconsin - River Falls, Department of Mathematics, River Falls, WI 54022-5001

关键词: compact operators;    weakly compact operators;    uncomplemented subspaces of operators;   

DOI  :  10.4153/CMB-2011-137-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A vector measure result is used to study the complementation of thespace $K(X,Y)$ of compact operators in the spaces $W(X,Y)$ of weaklycompact operators, $CC(X,Y)$ of completely continuous operators, and$U(X,Y)$ of unconditionally converging operators. Results of Kalton and Emmanuele concerning the complementation of$K(X,Y)$ in $L(X,Y)$ and in $W(X,Y)$ are generalized. The containmentof $c_0$ and $ell_infty$ in spaces of operators is also studied.

【 授权许可】

Unknown