Addendum to: ``Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces

DOI10.1007/s11117-022-00942-wzbMath1499.46035OpenAlexW4303647546MaRDI QIDQ2081320

José Luis Ansorena, Fernando Albiac

Publication date: 12 October 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00942-w

zbMATH Keywords

quasi-Banach spaceuniqueness of unconditional basis

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Sequence spaces (including Köthe sequence spaces) (46A45) Banach lattices (46B42) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Banach sequence spaces (46B45) Summability and bases in topological vector spaces (46A35) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Lorentz spaces and embeddings induced by almost greedy bases in superreflexive Banach spaces

Cites Work

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• Uniqueness of unconditional bases in Banach spaces
• Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces. II
• Uniqueness of the unconditional basis of \(\ell_{1}(\ell_p)\) and \(\ell_p(\ell_1)\), \(0<p<1\)
• Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces
• Uniqueness of unconditional basis of l_p(c₀) and l_p(l₂), 0<p<1
• Topics in Banach Space Theory
• Banach spaces with a unique unconditional basis, up to permutation
• Banach Envelopes of Non-Locally Convex Spaces
• Orlicz sequence spaces without local convexity
• Greedy approximation for biorthogonal systems in quasi-Banach spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications

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