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:
File Dimensione Formato  
Glasgow Mathematical Journal Volume 56 issue 2 2014 [doi 10.1017%2FS0017089513000347] PUGLISI, DANIELE -- THE POSITION OF IN.pdf

solo gestori archivio

Tipologia: Versione Editoriale (PDF)
Dimensione 97.64 kB
Formato Adobe PDF
97.64 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/241957
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 0
social impact