Geodesic
THE POSITION OF $\mathcal{K}(X,Y)$ IN $\mathcal{L}(X,Y)$
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 409-417

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

In this paper we investigate the nature of family of pairs of separable Banach spaces (X, Y) such that $\mathcal{K}(X,Y)$ is complemented in $\mathcal{L}(X,Y)$. It is proved that the family of pairs (X,Y) of separable Banach spaces such that $\mathcal{K}(X,Y)$ is complemented in $\mathcal{L}(X,Y)$ is not Borel, endowed with the Effros–Borel structure.
DOI : 10.1017/S0017089513000347
Mots-clés : Primary 46B20 
PUGLISI, DANIELE. THE POSITION OF $\mathcal{K}(X,Y)$ IN $\mathcal{L}(X,Y)$. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 409-417. doi: 10.1017/S0017089513000347
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     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000347/}
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