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arxiv: 1106.1292 · v1 · pith:5T5ODXC4new · submitted 2011-06-07 · 🧮 math.FA

Convex-transitivity of Banach algebras via ideals

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keywords banachspacesalgebrasconvex-transitivityidealsinvestigatemethodcarefully
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We investigate a method for producing concrete convex-transitive Banach spaces. The gist of the method is in 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.

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