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 X⊗πY 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 -