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 L1 norms for orthogonal expansions.
| Original language | English |
|---|---|
| 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 |