Geodesic
Some isomorphic properties in $K(X,Y)$ and in projective tensor products
Raffaella Cilia1 ; Giovanni Emmanuele1
1 Dipartimento di Matematica ed Informatica Università di Catania Viale Andrea Doria 6 95125 Catania, Italy
Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 239-252.

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We study the (DPrcp) property and the Gelfand–Phillips properties in spaces of compact operators. Moreover we give some sufficient conditions implying that the 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 $K_{w^*\hbox {-}w}(X^*,Y).$
DOI : 10.4064/cm6184-12-2015
Keywords: study dprcp property gelfand phillips properties spaces compact operators moreover sufficient conditions implying projective tensor product banach spaces sequentially right has l limited property introduce dual * property characterization showing intermediate between * rdp * properties finally study bourgain diestel property rdp * property space * hbox *

Raffaella Cilia 1 ; Giovanni Emmanuele 1

1 Dipartimento di Matematica ed Informatica Università di Catania Viale Andrea Doria 6 95125 Catania, Italy 
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Raffaella Cilia; Giovanni Emmanuele. Some isomorphic properties in $K(X,Y)$ and in projective tensor products. Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 239-252. doi : 10.4064/cm6184-12-2015. http://geodesic.mathdoc.fr/articles/10.4064/cm6184-12-2015/

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