The ball generated property in operator spaces

The Ball Generated Property (BGP) was introduced by Corson and Lindenstrauss and subsequently analysed in detail by Godefroy and Kalton. In this work, the (BGP) is studied in spaces of operators. It is shown that (BGP) is stable under c₀ and l_p-sums for 1 < p < ∞ and a characterization is provided for C(K, X)-spaces with (BGP). A similar characterization is obtained for L(X, C(K))-spaces. (BGP) is shown to be stable under injective tensor products.