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

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DOI

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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     title = {The {Uncomplemented} {Subspace} {K(X,Y)}},
     journal = {Canadian mathematical bulletin},
     pages = {65--69},
     year = {2013},
     volume = {56},
     number = {1},
     doi = {10.4153/CMB-2011-137-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-137-5/}
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