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

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DOI

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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     title = {THE {POSITION} {OF} $\mathcal{K}(X,Y)$ {IN} $\mathcal{L}(X,Y)$},
     journal = {Glasgow mathematical journal},
     pages = {409--417},
     year = {2014},
     volume = {56},
     number = {2},
     doi = {10.1017/S0017089513000347},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000347/}
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