The Tsirelson space \(\mathcal T(p)\) has a unique unconditional basis up to permutation for \(0

DOI10.1155/2009/780287zbMath1192.46002OpenAlexW1608653649WikidataQ58646671 ScholiaQ58646671MaRDI QIDQ963164

Camino Leránoz, Fernando Albiac

Publication date: 8 April 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/780287

zbMATH Keywords

\(p\)-convexified Tsirelsonunique 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)

Cites Work

• Uniqueness of unconditional bases in quasi-Banach spaces with applications to Hardy spaces
• Tsirelson's space. With an appendix by J. Baker, O. Slotterbeck and R. Aron
• 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 \(\ell_p(\ell_1)\), \(0<p<1\)
• Banach spaces with a unique unconditional basis
• 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
• 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.
• A Solution to Banach's Hyperplane Problem
• Uniqueness of unconditional basis in Lorentz sequence spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Tsirelson space \(\mathcal T(p)\) has a unique unconditional basis up to permutation for \(0<p<1\)