On certain subspaces of \(\ell_p\) for \(0 < p \le 1\) and their applications to conditional quasi-greedy bases in \(p\)-Banach spaces

DOI10.1007/s00208-020-02069-3zbMath1469.46013arXiv1912.08449OpenAlexW3089924966MaRDI QIDQ2225619

Przemysław Wojtaszczyk, Fernando Albiac, José Luis Ansorena

Publication date: 8 February 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08449

zbMATH Keywords

conditional quasi-greedy bases in $p$-Banachsubspaces of \( \ell_p\) for \(0 < p \le 1\)

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

New parameters and Lebesgue-type estimates in greedy approximation, Fundamental functions of almost greedy bases of \(L_p\) for \(1<p< \infty\), Structure of the Lipschitz free \(p\)-spaces \(\mathcal{F}_p (\mathbb{Z}^d)\) and \(\mathcal{F}_p (\mathbb{R}^d)\) for \(0<p\leq 1\), Weak forms of unconditionality of bases in greedy approximation, Sparse approximation using new greedy-like bases in superreflexive spaces, Fourier coefficients of functions in power-weighted L₂-spaces and conditionality constants of bases in Banach spaces, Bidemocratic bases and their connections with other greedy-type bases

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