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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/241957
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