Nice Operators into G-Spaces

G -spaces are a class of L 1 -preduals introduced by Grothendieck. We prove that if every extreme operator from any Banach space into a G -space, X , is a nice operator (that is, its adjoint preserves extreme points), then X is isometrically isomorphic to c 0 ( I ) for some set I . One of the main p...

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Veröffentlicht in:	Bulletin of the Malaysian Mathematical Sciences Society 2017-10, Vol.40 (4), p.1613-1621
Hauptverfasser:	Cabrera-Serrano, Ana M., Mena-Jurado, Juan F.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Banach spaces Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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