A note on partially-greedy bases in quasi-Banach spaces

DOI10.4064/SM200402-20-8zbMath1476.46018arXiv2004.01128OpenAlexW3120727458MaRDI QIDQ3389239

Pablo M. Berná

Publication date: 10 May 2021

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01128

zbMATH Keywords

greedy algorithmquasi-Banach spacesquasi-greedy basesgreedy bases

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 (6)

On weighted greedy-type bases ⋮ Greedy-like bases for sequences with gaps ⋮ Extensions and new characterizations of some greedy-type bases ⋮ Performance of the thresholding greedy algorithm with larger greedy sums ⋮ Quasi-greedy bases for sequences with gaps ⋮ Variations of property (A) constants and Lebesgue-type inequalities for the weak thresholding greedy algorithms

Cites Work

• Unnamed Item
• Unnamed Item
• Renorming spaces with greedy bases
• Characterization of greedy bases in Banach spaces
• Characterization of 1-greedy bases
• The thresholding greedy algorithm, greedy bases, and duality
• 1-greedy renormings of Garling sequence spaces
• Conditional quasi-greedy bases in non-superreflexive Banach spaces
• On the existence of almost greedy bases in Banach spaces
• Locally bounded linear topological spaces
• Greedy algorithm for general biorthogonal systems

This page was built for publication: A note on partially-greedy bases in quasi-Banach spaces