scientific article; zbMATH DE number 1292194

zbMath0939.46010arXivmath/9811145MaRDI QIDQ4241772

Peter G. Casazza, Nigel J. Kalton

Publication date: 26 May 1999

Full work available at URL: https://arxiv.org/abs/math/9811145

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zbMATH Keywords

unconditional basisTsirelson spacespace \(c_0\)

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (11)

Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces ⋮ Some equivalence relations which are Borel reducible to isomorphism between separable Banach spaces ⋮ Uniqueness of unconditional basis of \(H_p(\mathbb{T}) \oplus \ell_2\) and \(H_p(\mathbb{T}) \oplus \mathcal{T}^{(2)}\) for \(0 < p < 1\) ⋮ An alternative approach to the uniqueness of unconditional basis of \(\ell _p(c_{0})\) for \(0<p<1\) ⋮ Projections and unconditional bases in direct sums of ℓp spaces, 0<p≤∞ ⋮ The Tsirelson space \(\mathcal T(p)\) has a unique unconditional basis up to permutation for \(0<p<1\) ⋮ Uniqueness of unconditional bases in nonlocally convex \(c_0\)-products ⋮ On the number of permutatively inequivalent basic sequences in a Banach space ⋮ A net convergence for Schauder double bases ⋮ Addendum to: ``Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces ⋮ On the permutative equivalence of squares of unconditional bases

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