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arXiv · 0902.4744

An inequality for bi-orthogonal pairs

Christopher Meaney
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Abstract

We use Salem's method to prove that there is 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. There is also an application concerning linear algebra.

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Christopher Meaney. 2009-02-27. An inequality for bi-orthogonal pairs. https://arxiv.org/abs/0902.4744

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