A finite-dimensional normed space with two non-equivalent symmetric bases

DOI10.1007/BF02772990zbMath0819.46007OpenAlexW2164329278MaRDI QIDQ1335153

Timothy Gowers

Publication date: 27 September 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772990

zbMATH Keywords

edge-isoperimetric inequalitysymmetric basessequence of equivalence constantssequence of finite-dimensional normed spaces

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

On hereditarily indecomposable Banach spaces, Uniqueness of unconditional bases in Banach spaces

Cites Work

• Exact face-isoperimetric inequalities
• Uniqueness of unconditional and symmetric structures in finite dimensional spaces
• On the uniqueness of symmetric bases in finite dimensional Banach spaces
• A Banach space with, up to equivalence, precisely two symmetric bases
• A note on the edges of the n-cube
• Banach spaces with a unique unconditional basis, up to permutation
• Symmetric structures in Banach spaces
• Assignment of Numbers to Vertices
• Maximally Connected Arrays on the n-Cube
• Optimal Assignments of Numbers to Vertices