Quasi-greedy bases in \(\ell_p\) (\(0 < p < 1\)) are democratic

DOI10.1016/j.jfa.2020.108871zbMath1469.46014arXiv2004.05206OpenAlexW3104763991MaRDI QIDQ2225261

Przemysław Wojtaszczyk, Fernando Albiac, José Luis Ansorena

Publication date: 5 February 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05206

zbMATH Keywords

sequence spacesquasi-Banach spacesquasi-greedy basisdemocratic basis

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (7)

Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces ⋮ Fundamental functions of almost greedy bases of \(L_p\) for \(1<p< \infty\) ⋮ Weak forms of unconditionality of bases in greedy approximation ⋮ Strongly \((p,\sigma)\)-Lipschitz operators ⋮ Sparse approximation using new greedy-like bases in superreflexive spaces ⋮ Unified Grothendieck's and Kwapień's theorems for multilinear operators ⋮ Bidemocratic bases and their connections with other greedy-type bases

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