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Biorthogonal systems in Banach spaces

泛函分析 2007-05-23 v1

摘要

We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c0c_0, or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite dimensional Banach space has one of three types of biorthogonal systems.

关键词

引用

@article{arxiv.math/0312128,
  title  = {Biorthogonal systems in Banach spaces},
  author = {Michael A. Coco},
  journal= {arXiv preprint arXiv:math/0312128},
  year   = {2007}
}

备注

22 pages