An inequality for bi-orthogonal pairs

Details An inequality for bi-orthogonal pairs An inequality for bi-orthogonal pairs

2009-02-27

arxiv.org/abs/0902.4744v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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