M. Nielsen

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math.FA2006

Trigonometric quasi-greedy bases for $L^p(\bT;w)$

Morten Nielsen

We give a complete characterization of $2 π$ -periodic weights $w$ for which the usual trigonometric system forms a quasi-greedy basis for $L^p(\bT;w)$, i.e., bases for which simple…

math.FA2006★ 4 cited

An example of an almost greedy uniformly bounded orthonormal basis for $L_{p} ([0, 1])$

Morten Nielsen

We construct a uniformly bounded orthonormal almost greedy basis for $L_{p} ([0, 1])$ , $1 < p < \infty$ . The example shows that it is not possible to extend Orlicz's theorem, stating that…

Trigonometric quasi-greedy bases for $L^p(\bT;w)$

An example of an almost greedy uniformly bounded orthonormal basis for Lp​([0,1])

An example of an almost greedy uniformly bounded orthonormal basis for $L_{p} ([0, 1])$