Abstract
We investigate a method for producing concrete convex-transitive Banach spaces. The key idea of the method consists of getting rid of dissymmetries of a given space by taking a carefully chosen quotient. The spaces of interest here are typically Banach algebras and their ideals. We also investigate the convex-transitivity of ultraproducts and tensor products of Banach spaces.
Original language | English |
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Pages (from-to) | 571-589 |
Number of pages | 19 |
Journal | QUARTERLY JOURNAL OF MATHEMATICS |
Volume | 64 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 2013 |
MoE publication type | A1 Journal article-refereed |