An inequality for bi-orthogonal pairs

Christopher Meaney

An inequality for bi-orthogonal pairs

Classical Analysis and ODEs 2009-03-02 v1

Authors: Christopher Meaney

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.

Keywords

upper bounds hilbert functions inequalities

Cite

@article{arxiv.0902.4744,
  title  = {An inequality for bi-orthogonal pairs},
  author = {Christopher Meaney},
  journal= {arXiv preprint arXiv:0902.4744},
  year   = {2009}
}

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