Conditional quasi-greedy bases in Hilbert and Banach spaces

Autor:	Garrigos, G., Wojtaszczyk, P.
Rok vydání:	2013
Předmět:	Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	We show that, for quasi-greedy bases in Hilbert spaces, the associated conditionality constants grow at most as $O(\log N)^{1-\epsilon}$, for some $\epsilon>0$, answering a question by Temlyakov. We show the optimality of this bound with an explicit construction, based on a refinement of the method of Olevskii. This construction leads to other examples of quasi-greedy bases with large $k_N$ in Banach spaces, which are of independent interest.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1301.4844 Zobrazit plný text záznamu View this record from Arxiv