Boundaries for strong Schur spaces

S. Dutta, V. P. Fonf

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

It is known that if a Banach space X does not contain an isomorphic copy of c0, then for any boundary B and representation B =U n=1 Bn such that the sequence Bn is increasing, there exist an indexmand somer > 0 such thatBm is r-norming forX. In this note, we showthat if someBm is uniformly norming, that is, there existsr > 0 not depending on a boundary B and a representation B = ∪ Bn, then that property characterizes Strong Schur spaces.

Original languageEnglish
Pages (from-to)887-891
Number of pages5
JournalQuarterly Journal of Mathematics
Volume65
Issue number3
DOIs
StatePublished - 1 Jan 2014

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