In this paper we investigate the nature of family of pairs of separable Banach spaces (X,Y) such that K(X,Y) is complemented in L(X,Y). It is proved that the family of pairs (X,Y) of separable Banach spaces such that K(X,Y) is complemented in L(X,Y) is not Borel, endowed with the Effros–Borel structure.
THE POSITION OF K(X,Y) IN L(X,Y)
PUGLISI, DANIELE
2014-01-01
Abstract
In this paper we investigate the nature of family of pairs of separable Banach spaces (X,Y) such that K(X,Y) is complemented in L(X,Y). It is proved that the family of pairs (X,Y) of separable Banach spaces such that K(X,Y) is complemented in L(X,Y) is not Borel, endowed with the Effros–Borel structure.File in questo prodotto:
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Glasgow Mathematical Journal Volume 56 issue 2 2014 [doi 10.1017%2FS0017089513000347] PUGLISI, DANIELE -- THE POSITION OF IN.pdf
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