### Abstract

We use Salem's method [13, 14] to prove an inequality of Kwapień and Pełczyński concerning a lower bound for partial sums of series of bi-orthogonal vectors in a Hilbert space, or the dual vectors. This is applied to some lower bounds on L^{1} norms for orthogonal expansions.

Original language | English |
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Article number | 302-09 |

Pages (from-to) | 1-8 |

Number of pages | 8 |

Journal | Journal of Inequalities in Pure and Applied Mathematics |

Volume | 10 |

Issue number | 4 |

Publication status | Published - 2009 |

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## Cite this

Meaney, C. (2009). An inequality for bi-orthogonal Pairs.

*Journal of Inequalities in Pure and Applied Mathematics*,*10*(4), 1-8. [302-09].