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- Title
BOUNDARIES FOR STRONG SCHUR SPACES.
- Authors
Dutta, S.; Fonf, V. P.
- 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 = ∪∞n=1 Bn such that the sequence Bn is increasing, there exist an index m and some r>0 such that Bm is r-norming for X. In this note, we show that if some Bm is uniformly norming, that is, there exists r>0 not depending on a boundary B and a representation B= ∪ Bn, then that property characterizes Strong Schur spaces.
- Subjects
SCHUR functions; BANACH spaces; ISOMORPHISM (Mathematics); POLYHEDRAL functions; MATHEMATICS theorems
- Publication
Quarterly Journal of Mathematics, 2014, Vol 65, Issue 3, p887
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/hat041