A NOTE ON WEAK RECIPROCAL DUNFORD-PETTIS SETS

作者：Ghenciu I^*

来源：Acta Mathematica Hungarica, 2017, 152(2): 453-463.

DOI：10.1007/s10474-017-0723-5

• limited set
• weak reciprocal Dunford-Pettis set

A bounded subset K of X is defined to be a weak reciprocal Dunford-Pettis set (or wRDP set) if T(K) is relatively weakly compact for each completely continuous operator T : X -> c(0). A Banach space X has the R* property if every wRDP subset of X is relatively weakly compact. In this paper we study weak reciprocal Dunford-Pettis sets and Banach spaces with property R* .

• 出版日期2017-8