Projections and unconditional bases in direct sums of ℓp spaces, 0<p≤∞

DOI10.1002/mana.201900537zbMath1528.46010arXiv1909.06829OpenAlexW3215141153MaRDI QIDQ6047585

Fernando Albiac, José Luis Ansorena

Publication date: 9 October 2023

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

Full work available at URL: https://arxiv.org/abs/1909.06829

zbMATH Keywords

Banach latticequasi-Banach spaceunconditional 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) Summability and bases in topological vector spaces (46A35) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces ⋮ Uniqueness of unconditional basis of \(H_p(\mathbb{T}) \oplus \ell_2\) and \(H_p(\mathbb{T}) \oplus \mathcal{T}^{(2)}\) for \(0 < p < 1\) ⋮ On the permutative equivalence of squares of unconditional bases

Cites Work

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• An alternative approach to the uniqueness of unconditional basis of \(\ell _p(c_{0})\) for \(0<p<1\)
• Uniqueness of unconditional bases in nonlocally convex \(\ell _{1}\)-products
• Uniqueness of unconditional basis in quasi-Banach spaces which are not sufficiently Euclidean
• Uniqueness of unconditional bases in Banach spaces
• Uniqueness of the unconditional basis of \(\ell_{1}(\ell_p)\) and \(\ell_p(\ell_1)\), \(0<p<1\)
• Topics in Banach Space Theory
• On bases and unconditional convergence of series in Banach spaces
• Convexity conditions for non-locally convex lattices
• Banach Envelopes of Non-Locally Convex Spaces
• Unconditional bases inlp⊕lq, 0 <p <q < 1
• Orlicz sequence spaces without local convexity
• On projections and unconditional bases in direct sums of Banach spaces
• Lineare Räume mit unendlich vielen Koordinaten und Ringe unendlicher Matrizen.
• Greedy approximation for biorthogonal systems in quasi-Banach spaces
• Uniqueness of unconditional basis in Lorentz sequence spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Locally bounded linear topological spaces

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