Biorthogonal systems in Banach spaces

Details Biorthogonal systems in Banach spaces Biorthogonal systems in Banach spaces

2003-12-05

arxiv.org/abs/math/0312128v1

Mathematics

Functional Analysis

22 pages

Scientific paper

We give biorthogonal system characterizations of Banach spaces that fail the
Dunford-Pettis property, contain an isomorphic copy of $c_0$, 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.

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