An alternative approach to the uniqueness of unconditional basis of \(\ell _p(c_{0})\) for \(0

DOI10.1016/J.EXMATH.2010.03.004zbMath1210.46004OpenAlexW2085014343MaRDI QIDQ607076

Fernando Albiac, Camino Leránoz

Publication date: 19 November 2010

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2010.03.004

zbMATH Keywords

quasi-Banach spacelattice anti-Euclideanuniqueness of unconditional basis up to permutation

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Summability and bases in topological vector spaces (46A35)

Related Items (4)

Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces ⋮ Projections and unconditional bases in direct sums of ℓp spaces, 0<p≤∞ ⋮ A net convergence for Schauder double bases ⋮ On the permutative equivalence of squares of unconditional bases

Cites Work

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• Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces
• 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 l_p(c₀) and l_p(l₂), 0<p<1
• Banach spaces with a unique unconditional basis, up to permutation

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