We study the (DPrcp) and the Gelfand Phillips properties in the space of compact operators. Moreover we give some sufficient conditions implying that a projective tensor product of two Banach spaces is sequentially Right (SR) or has the L-limited property. We introduce the dual (SR*) property and we give a characterization of it, also showing that it is intermediate between the (V*) and the (RDP*) properties. Finally we study the Bourgain Diestel property (BD) and the (RDP*) property in the space of weak*-weak operators

Some isomorphic properties in K(X,Y) and in projective tensor products.

CILIA, Raffaela Giovanna;EMMANUELE, Giovanni
2017

Abstract

We study the (DPrcp) and the Gelfand Phillips properties in the space of compact operators. Moreover we give some sufficient conditions implying that a projective tensor product of two Banach spaces is sequentially Right (SR) or has the L-limited property. We introduce the dual (SR*) property and we give a characterization of it, also showing that it is intermediate between the (V*) and the (RDP*) properties. Finally we study the Bourgain Diestel property (BD) and the (RDP*) property in the space of weak*-weak operators
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/18263
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