# Biorthogonal systems in Banach spaces

Source: [Biorthogonal systems in Banach spaces](<https://www.sota2.com/research/paper/68fa4cc71e209131ce94f54b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:43:55.611Z

Authors: Michael A. Coco

Published: 2003-12-05T19:22:24.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0312128>)

[PDF](<https://arxiv.org/pdf/math/0312128.pdf>)