1 results
The Uncomplemented Subspace K(X,Y)
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- Journal:
- Canadian Mathematical Bulletin / Volume 56 / Issue 1 / 01 March 2013
- Published online by Cambridge University Press:
- 20 November 2018, pp. 65-69
- Print publication:
- 01 March 2013
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- Article
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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.
