The strong Schur property in Banach lattices
- Witold Wnuk
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We prove that in the class of discrete Banach lattices the strong Schur property is equivalent to the disjoint strong Schur property (Theorem 3.1). Roughly speaking the strong Schur property holds iff an appropriate condition concerning sequences with positive pairwise disjoint terms is satisfied.
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- The strong Schur property in Banach lattices
Volume 13, Issue 2 , pp 435-441
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- Banach lattice
- Schur property
- strong Schur property
- subsequence splitting property
- Witold Wnuk (1)
- Author Affiliations
- 1. Faculty of Mathematics and Computer Science, A. Mickiewicz University, ul. Umultowska 87, 61-614, Poznań, Poland