A dual geometric characterization of Banach spaces not containing<i>l</i><sub>1</sub>
A dual geometric characterization of Banach spaces not containing<i>l</i><sub>1</sub>
It is shown that a Banach space E does not contain a copy of /, if and only if every bounded subset of E* is w*-deniable in (£"*, σ(£*, £**)).The notion of w*-scalarly deniable sets in dual Banach space is introduced and it is proved that a Banach space E …