Uniqueness of unconditional bases in nonlocally convex \(\ell _{1}\)-products

DOI10.1016/J.JMAA.2010.09.048zbMath1210.46005OpenAlexW1992314204MaRDI QIDQ607297

Fernando Albiac, Camino Leránoz

Publication date: 22 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.048

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 (6)

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 \(0 < p < 1\) ⋮ Projections and unconditional bases in direct sums of ℓp spaces, 0<p≤∞ ⋮ Uniqueness of unconditional bases in nonlocally convex \(c_0\)-products ⋮ A net convergence for Schauder double bases ⋮ On the permutative equivalence of squares of unconditional bases

Cites Work

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• $H_{p}$-spaces, p≤1, and spline systems
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• Banach Envelopes of Non-Locally Convex Spaces
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