Property and the reciprocal Dunford-Pettis property in projective tensor products
Ioana Ghenciu (2015)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
A Banach space has the reciprocal Dunford-Pettis property () if every completely continuous operator from to any Banach space is weakly compact. A Banach space has the (resp. property ) if every -subset of is relatively weakly compact (resp. weakly precompact). We prove that the projective tensor product has property when has the , has property , and .