TY - JOUR A2 - Lang, Jan AU - Ghenciu, Ioana PY - 2014 DA - 2014/07/01 TI - Properties and in Projective Tensor Products SP - 405635 VL - 2014 AB - We give sufficient conditions for a subset of K(X,Y*)=L(X,Y*) to be relatively weakly compact. A Banach space X has property (V) (resp., (wV)) if every V-subset of X* is relatively weakly compact (resp., weakly precompact). We prove that the projective tensor product XπY has property (V) (resp., (wV)), when X has property (V) (resp., (wV)), Y has property (V), and W(X,Y*)=K(X,Y*). SN - 2314-5064 UR - https://doi.org/10.1155/2014/405635 DO - 10.1155/2014/405635 JF - Journal of Operators PB - Hindawi Publishing Corporation KW - ER -