Geodesic
The Uncomplemented Subspace K(X,Y)
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 65-69

Voir la notice de l'article provenant de la source Cambridge University Press

A vector measure result is used to study the complementation of the space $K\left( X,Y \right)$ of compact operators in the spaces $W\left( X,Y \right)$ of weakly compact operators, $CC\left( X,Y \right)$ of completely continuous operators, and $U\left( X,Y \right)$ of unconditionally converging operators. Results of Kalton and Emmanuele concerning the complementation of $K\left( X,Y \right)$ in $L\left( X,Y \right)$ and in $W\left( X,Y \right)$ are generalized. The containment of ${{c}_{0}}$ and ${{\ell }_{\infty }}$ in spaces of operators is also studied.
DOI : 10.4153/CMB-2011-137-5
Mots-clés : 46B20, 46B28, compact operators, weakly compact operators, uncomplemented subspaces of operators 
Ghenciu, Ioana. The Uncomplemented Subspace K(X,Y). Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 65-69. doi: 10.4153/CMB-2011-137-5
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